Science Curriculum Map



Overview

The purpose of this curriculum map is to serve as a guideline to assist teachers with planning and organizing throughout the year. It is designed such that all of the performance objectives in the curriculum can be mastered in a logical sequence and provides a means for us to be within the same unit throughout the year. With students transferring between classes or schools, using a district wide map such as this will help ease the transition.

Please remember that this curriculum map is only a guide; it may be necessary to spend more or less time on particular objectives depending on the needs of your students.

This document includes an overview, an “at a glance” view of the major concepts and the order in which they are covered, and the curriculum map, showing all performance objectives. Some important points to note regarding the design of this map are as follows:

• The Tempe Union High School District is committed to cover all AZ performance objectives in either Algebra 1-2 or Geometry 1-2 so that their students will be prepared for the high school AIMS test. Spiral review for AIMS should be completed throughout the year using daily warm-ups, problem solving activities, performance tasks, or projects.

• Our goal is to prepare our middle school students for the high school midterm and final exams and to complete all 7th or 8th grade performance objectives prior to AIMS testing. As a result, units may seem out of sequence in some cases.

• Although performance objectives should be addressed in order given, timing may be adjusted as needed. It will all balance out in the end.

• Connected Math resources have been suggested as the basis for activities to introduce or reinforce concepts taught.

• Some performance objectives are duplicated as a reminder to focus on these objectives

• Some performance objectives should and will be covered naturally throughout the year and are listed at the beginning of the map.

• KSD objectives are noted where they are comparable to the HS objectives or where they are not covered by the HS objectives; however, obvious prerequisite objectives were not included.

• Those KSD objectives that do not fit naturally into the scope of this course, but should be reviewed before AIMS (such as geometry), are also included at the beginning of the map. Warm-up activities are a good place to incorporate a review of these objectives.

Changes for the 2006-2007:

Based on feedback provided by teachers in the district, we have made some minor revisions as follows:

• Proportion & Percents are covered during the week of Aims testing. This is a review of previous work and should not pose a problem.

• Since the Pre-algebra course now uses more Connected Math Units, those units/investigations which were included as Other Resources have been removed or replaced with more appropriate units/ investigations.

• Sections in the Holt Pre-algebra textbook that may be relevant have been included. They can be used for additional examples and practice problem, as needed.

The Year at a Glance

|AUG |Week 1 |Week 2 |Week 3 |Week 4 |

| |Number Systems |Integers & Matrices |Collecting and Interpreting Data |Measures of Central Tendency |

|Sep | | Week 5 |Week 6 |Week 7 |Week 8 |

| | |Solving Equations in One Variable|More Linear Equations and Literal Equations |Properties of Functions |Graphing Linear Functions |

|Oct |Week 9 | | |Week 10 |Week 11 |

| |Understanding Slope and Intercepts |FALL BREAK | |Writing Equations of Lines |Using Standard and |

| | | | | |Point-Slope Form |

|Nov |Week 12 |Week 13 | |Week 14 |Week 15 |

| |Systems of Equations | |Problem Solving with Linear Systems |Properties of Exponents |Scientific Notation and |

| | | | | |Exponential Functions |

|Feb |Week 24 |Week 25 | |Week 26 |

| |Quadratic Formula |SPRING BREAK |Surface Area & Volume Review |Radicals, Pythagorean Theorem and Distance |

| |and the Discriminant | | | |

|Apr |Week 31 | |Week 32 |Week 33 |Week 34 |

| |Solving Radical Equations | |AIMS Testing |Rational Expressions |Solving Rational Equations |

| | | |Proportions & Percents |Polynomial Division | |

|May |Week 35 |Week 36 |Week|Week 38 |

| | | |37 | |

|Year Long Performance Objectives |

| |G7S1C2PO7 |Apply grade-level appropriate properties to assist in computation. | | |All units |Alt. Res. |

| |G8S1C2PO6 |Associative, Commutative, Identity, Distributive | | | | |

|S1C2PO5 |G7S1C2PO9 |Use grade level appropriate mathematical terminology | | |All units |Alt. Res. |

| |G8S1C2PO8 | | | | | |

|S1C2PO7 |G7S1C2PO12 |Simplify numerical expressions using order of operations, including | | |All units |Alt. Res. |

| |G8S1C2PO11 |exponents | | | | |

|S1C3PO1 |G7S1C3PO1 |Solve grade level appropriate problems using estimation | | |All units |Alt. Res. |

| |G7S1C3PO2 |Use estimation to verify the reasonableness of a calculation (e.g. -2.5| | |All units |Alt. Res. |

| | |x 18 about – 50?) | | | | |

| |G7S1C3PO3 |Verify the reasonableness of estimates made from calculator results | | |All units |Alt. Res. |

| | |within a contextual situation | | | | |

| |G7S1C4PO1 |Discriminate necessary information from unnecessary information in a | | |All units |Alt. Res. |

| | |given grade level appropriate word problem | | | | |

| |G7S1C5PO1 |Solve a logic problem using multiple variables | | |Alt. Res. |Alt. Res. |

| |G7S1C5PO1 | | | | | |

|S1C3PO2 | |Determine if a solution to a problem is reasonable | | |All units |Alt. Res. |

|S3C3PO1 |G7S3C3PO1 |Evaluate algebraic expressions (including absolute value and square | | |All units |Alt. Res. |

| |G8S3C3PO1 |root) | | | | |

|S3C3PO2 | |Simplify algebraic expressions | | |All units |Alt. Res. |

|S3C3PO4 |G7S3C3PO3 |Translate a written expression or sentence into a mathematical | | |All units |Alt. Res. |

| |G8S3C3PO4 |expression or sentence | | | | |

|S3C3PO5 |G7S3C3PO4 |Translate a sentence written in context into an algebraic equation | | |All units |Alt. Res. |

| |G8S3C3PO5 |involving multiple operations | | | | |

|S5C1PO1 | |Determine whether a given procedure for simplifying an expression is | | |All units |Alt. Res. |

| | |valid | | | | |

|S5C1PO2 | |Determine whether a given procedure for solving an equation is valid | | |All units |Alt. Res. |

|S5C1PO4 | |Select an algorithm that explains a particular mathematical process | | |All units |Alt. Res. |

|S5C1PO5 | |Determine the purpose of a simple mathematical algorithm | | |All units |Alt. Res. |

|S5C1PO6 | |Determine whether given simple mathematical algorithms are equivalent | | |All units |Alt. Res. |

These objectives should be reviewed, as time permits, prior to AIMS testing. Many can be incorporated into daily warm-up activities, problem solving activities, performance tasks, or projects.

| Standard |Objective |Instructional Strategy |( |Resources |

|AZ KSD | | | |Heath Other |

|Numeration |

| |G8S1C4PO3 |Model a contextual situation using a flow chart |Have students create flowcharts for processes such as| |Alt. Res. |Alt. Res. |

| | | |solving multi-step equations | | | |

| |G7S1C5PO1 |Solve a logic problem given necessary information | | |Alt. Res. |HLT SB |

| |G8S1C5PO1 | | | | |p 681 |

| |G8S1C5PO2 |Identify simple valid arguments using if … then statements | | |Alt. Res. |HLT PSH |

|Geometry |

| |G7S4C1PO1 |Draw a model that demonstrates basic geometric relationships such as | | |Alt. Res. |HLT 6-5, |

| |G8S4C1PO1 |parallelism, perpendicularity, similarity/proportionality, and | | | |Alt. Res. |

| | |congruence | | | | |

| |G8S4C1PO2 |Draw 3 dimensional figures by applying properties of parallelism, | | |Alt. Res. |Alt. Res. |

| | |perpendicularity, congruence | | | | |

| |G7S4C1PO7 |Recognize the relationship between central or inscribed angles and | | |Alt. Res. |HLT SB 686 |

| |G8S4C1PO7 |intercepted arcs | | | | |

| |G7S4C1PO8 |Identify arcs and chords or tangents and secants of a circle | | |Alt. Res. |HLT SB 686 |

| |G8S4C1PO8 | | | | | |

| |G7S4C1PO10 |Identify corresponding parts of congruent polygons as congruent or | | |Alt. Res. |HLT 5-6 |

| |G8S4C1PO10 |corresponding angles of similar polygons as congruent and corresponding| | | | |

| | |sides as proportional | | | | |

| |G8S4C1PO11 |Solve applied problems using congruence and similarity relationships | | |Alt. Res. |HLT 5-6 |

| |G8S4C2PO1 |Identify the planar geometric figure that is the result of a given | | |Alt. Res. |HLT 5-7 |

| |G7S4C2PO1 |rigid transformation | | | | |

| |G8S4C2PO2 |Model a simple transformation on a coordinate grid | | |Alt. Res. |HLT 5-7 |

| |G7S4C2PO2 | | | | | |

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|Measurement |

| |G7S5C1PO3 |Convent measurement units to equivalent units from US customary to | | |Alt. Res. |HLT SB |

| | |metric, and vice versa, including fractional and decimal units | | | |p 688 |

| |G8S5C1PO6 |Find the measure of a missing interior angle in a triangle or | | |Alt. Res. |HLT SB |

| | |quadrilateral | | | |p 688 |

| Standard |Objective |Instructional Strategy |( |Resources |

|AZ KSD | | | |Heath Other |

|Week 1 – Number Systems |

|S1C1PO1 |G7S1C1PO8 |Classify rational numbers as natural, whole, integers, rational or | | |1.1, 1.3 |Alt. Res. |

| |G8S1C1PO3 |irrational numbers | | | | |

|S3C3PO1 |G7S3C3PO1 |Evaluate algebraic expressions including absolute value and square | | |1.2, 1.5 |Alt. Res. |

| |G8S3C3PO1 |roots | | | | |

|S1C2PO7 |G7S1C2PO12 |Simplify numerical expressions using order of operations, including | | |1.4 |Alt. Res. |

| |G8S1C2PO11 |exponents | | | | |

|S3C3PO4 |G7S3C3PO3 |Translate a written expression or sentence into a mathematical | | |1.6, 1.7 |Alt. Res. |

| |G8S3C3PO4 |expression or sentence | | | | |

|S3C3PO5 |G7S3C3PO4 |Translate a sentence written in context into an algebraic equation | | |1.6, 1.7 |Alt. Res. |

| |G8S3C3PO5 |involving multiple operations | | | | |

|Week 2 – Integers & Matrices |

|S1C1PO1 |G7S1C1PO8 |Classify rational numbers as natural, whole, integers, rational or | | |2.1, 2.2, 2.3, |Alt. Res. |

| |G8S1C1PO3 |irrational numbers | | |2.5, 2.7 | |

|S1C2PO3 |G7S1C2PO1,2 |Simplify numerical expressions including signed numbers and absolute | | |2.1, 2.2, 2.3, |Alt. Res. |

| |G7S1C2PO5,6 |value | | |2.5, 2.7, 2.8 | |

|S1C1PO2 | |Identify properties of the real numbers system: Associative, | | |2.6, 13.6 |Alt. Res. |

| | |Commutative, Identity, Distributive, inverse, and closure | | | | |

|S3C3PO13 | |Add, subtract, and perform scalar multiplication with matrices |Add scalar multiplication to lesson in text | |2.4 |Alt. Res. |

|S2C1PO3 | |Display data as lists, tables, matrices and plots | | |2.4 |Alt. Res. |

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|Week 3 – Collecting & Interpreting Data |

|S2C1PO1 |G7S2C1PO1 |Formulate questions to collect data in contextual situations |See also CMP SP for ideas to use | |Alt. Res. |HLT 4-1 |

| |G8S2C1PO1 | | | | |Alt. Res. |

|S2C1PO2 |G7S2C1PO3 |Organize collected data into an appropriate graphical representation |See also CMP SP for ideas to use | |1.8, 3.7, 6.6 |HLT |

| |G8S2C1PO3 | | | | |4-5, 4-6 |

| |G7S2C1PO2 |Construct a circle graph with appropriate labels and title from |See also CMP SP for ideas to use | |6.6 |HLT |

| | |organized data | | | |Lab 8A |

|S2C1PO9 | |Draw inferences from charts, tables, graphs, plots, or data sets. |See also CMP SP for ideas to use | |1.8, 3.7, 6.6 |HLT |

| | | | | | |4-5, 4-6 |

|S2C1PO16 | |Identify differences between samples and census |See also CMP SP for ideas to use | |Alt. Res. |HLT 4-1 |

| | | | | | |Alt. Res. |

|S2C1PO5 | |Identify differences between biased and unbiased samples |See also CMP SP for ideas to use | |Alt. Res. |HLT 4-1 |

| | | | | | |Alt. Res. |

|S2C1PO12 | |Recognize and explain the impact of interpreting data (making |See also CMP SP for ideas to use | |Alt. Res. |HLT 4-1 |

| | |inferences or drawing conclusions) from a biased sample | | | |Alt. Res. |

|S2C1PO5 | |Identify graphic misrepresentations and distortions of sets of data | | |Alt. Res. |HLT 4-1 |

| | | | | | |Alt. Res. |

|Week 4 – Measures of Central Tendency |

|S2C1PO10 |G7S2C1PO6 |Apply the concepts of mean, median, mode, range, and quartiles to |See also CMP SP for ideas to use | |12.6, 12.7 |HLT 4-3 |

| |G8S2C1PO6 |summarize data | | | |Alt. Res. |

|S2C1PO6 | |Identify which measures of central tendency is most appropriate in a |See also CMP SP for ideas to use | |12.7 |HLT 4-3 |

| | |given situation | | | |Alt. Res. |

| |G8S2C1PO10 |Evaluate the effects of missing or incorrect data on the results of an | | |12.6, 12.7 |HOLT 4-6 |

| | |investigation | | | |Alt. Res. |

|S2C1PO15 | |Identify a normal distribution | | |12.7 |Alt. Res. |

|S2C1PO3 | |Display data as lists, tables, matrices and plots | | |12.6, 12.7 |Alt. Res. |

|S2C1PO4 |G8S2C1PO2 |Construct equivalent displays of the same data | | |12.6, 12.7 |Alt. Res. |

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|Week 5 – Solving Equations in One Variable |

|S3C3PO8 |G7S3C3PO5 |Solve linear equations in one variable (may include absolute value) | | |3.1, 3.2, 3.3 |Alt. Res. |

| |G8S3C3PO9 | | | | | |

| |G8S3C3PO10 | | | | | |

|S3C3PO11 |G7S3C3PO4 |Solve an algebraic proportion | | |3.1, 3.2, 3.3 |Alt. Res. |

| |G8S3C3PO5 | | | | | |

|S3C3PO4 |G7S3C3PO3 |Translate a written expression or sentence into a mathematical | | |3.4 |Alt. Res. |

| |G8S3C3PO4 |expression or sentence | | | | |

|S3C3PO5 |G7S3C3PO4 |Translate a sentence written in context into an algebraic equation | | |3.4 |Alt. Res. |

| |G8S3C3PO5 |involving multiple operations | | | | |

|Week 6 – More Linear Equations and Literal Equations |

|S3C3PO8 |G7S3C3PO5 |Solve linear equations in one variable (may include absolute value) |Absolute value equations will be addressed in week 12 | |3.5 |Alt. Res. |

| |G8S3C3PO9 | | | | | |

| |G8S3C3PO10 | | | | | |

|S3C4PO2 | |Solve formulas for specified variables | | |3.6 |HLT 10-5 |

|S3C2PO7 | |Express the relationship between data suggested by tables/matrices, | | |3.7 |Alt. Res. |

| | |equations, or graphs | | | | |

|Week 7 – Properties of Functions |

|S3C2PO1 | |Determine if a relationship is a function, given a graph, table, or set|Use TMM 1 and HOLT 12-4 as an introduction to review | |12.1 |TMM 1, HLT 12-4 |

| | |of ordered pairs |what students already know about functions | | | |

|S3C2PO5 | |Determine domain and range for a given function | | |12.1 |TMM 1, HLT 12-4 |

| |G8S3C2PO4 |Identify independent and dependent variables for a contextual situation| | |12.1 |TMM 1, HLT 12-4 |

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|Week 8 – Graphing Linear Functions |

|S3C2PO2 | |Describe a contextual situation that is depicted by a given graph | | |4.1 (ex 3) |TMM 1, 4 |

|S3C2PO3 | |Identify a graph that models a real world situation | | | |TMM 1, 4 |

|S3C2PO4 | |Sketch a graph that models a given contextual situation | | |4.1 (ex 5) |TMM 1, 4 |

|S4C3PO2 |G8S4C3PO1 |Graph a linear equation in two variables | | |4.2, 4.3 |TMM 1, 4, |

| | | | | | |HLT 11-1 |

|S2C1PO7 |G8S2C1PO7 |Make reasonable predictions based upon linear patterns in data sets or | | |4.1 (ex 4) |TMM 1, 4 |

| | |scatter plots | | | | |

|S2C1PO9 | |Draw inferences from charts, tables, graphs, plots, or data sets | | |4.2 (ex 4) |TMM 1, 4 |

|S2C1PO5 | |Identify graphic misrepresentations and distortions of sets of data |See practice problem 26 | |4.2 |Alt. Res. |

|Week 9 – Understanding Slope and Intercepts |

|S3C4PO1 | |Determine slope, x- and y-intercepts of a linear equation | | |4.3, 4.4, 4.5 |HLT 11-3 |

|S1C2PO4 | |Apply subscripts to represent ordinal position | | |4.3, 4.4, 4.5 |Alt. Res. |

|S4C3PO6 | |Determine changes in the graph of a linear function when constants and |Have students explore various linear functions using a| |4.2 (lab), 4.5 |HLT 11-1 |

| | |coefficients in its equation are varied |graphing calculator to determine the effects of change| | | |

| | | |in slope or intercept | | | |

| Standard |Objective |Instructional Strategy |( |Resources |

|AZ KSD | | | |Heath Other |

|Week 10 – Writing Equations of Lines |

|S3C3PO10 | |Write an equation of the line given: two points on the line, the slope | | |5.1, 5.2, 5.3 |HLT 11-3 |

| | |and a point on the line, or the graph of the line. | | | | |

|S3C3PO7 | |Write a linear algebraic sentence that represents a data set that | | |5.4 |HLT 11-3 |

| | |models a contextual situation | | | | |

|S3C3PO6 | |Write a linear equation for a table of values | | |5.4 |HLT 11-3 |

|S2C1PO13 | |Draw a line of best fit for a scatter plot | | |5.4 |Alt. Res. |

|S2C1PO14 | |Determine whether displayed data has a positive, negative, or no | | |5.4 |Alt. Res. |

| | |correlation | | | | |

| |G8S2C1PO12 |Distinguish between causation and correlation |Discuss causation along with correlation | |5.4 |Alt. Res. |

|Week 11 – Using Standard and Point-Slope Form |

|S3C3PO7 | |Write a linear algebraic sentence that represents a data set that | | |5.5, 5.6 |HLT 11-4 |

| | |models a contextual situation | | | | |

|S3C3PO5 | |Translate a sentence written in context into an algebraic equation | | |5.7 |Alt. Res. |

| | |involving multiple operations | | | | |

|S2C1PO2 | |Organize collected data into an appropriate graphical representation | | |5.7 |HLT 4-7 |

|S2C1PO7 | |Make reasonable predictions based upon linear patterns in data sets or | | |5.7 |HLT 4-7 |

| | |scatter plots | | | | |

| |G8S2C1PO11 |Identify a line of best fit for a scatter plot | | |5.7 |HLT 4-7 |

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|Week 12 – Absolute Value Equations |

|S4C3PO2 |G8S4C3PO1 |Graph a linear equation in two variables [absolute value] | | |4.7 |HLT 12-5 |

| | | | | | |Challenge |

|S3C3PO1 | |Evaluate algebraic expressions, including absolute value and square |”A Non-Standard Approach to Absolute Standards” is an | |4.8 |Alt. Res. |

| | |roots |excellent resource for this concept. | | | |

|S3C2PO7 | |Express the relationship between two variables using tables/matrices, |”A Non-Standard Approach to Absolute Standards” is an | |4.8 |Alt. Res. |

| | |equations, or graphs |excellent resource for this concept. | | | |

|S3C3PO8 | |Solve linear equations in one variable (may include absolute value) |”A Non-Standard Approach to Absolute Standards” is an | |4.8 |Alt. Res. |

| | | |excellent resource for this concept. | | | |

|S3C3PO9 | |Solve linear inequalities in one variable |”A Non-Standard Approach to Absolute Standards” is an | |6.4 |Alt. Res. |

| | | |excellent resource for this concept. | | | |

|Week 13 – Linear Inequalities in One Variable |

| |G8S3C3PO11 |Graph a linear inequality on a number line | | |6.1 |HLT 10-4 |

|S3C3PO9 | |Solve linear inequalities in one variable | | |6.1, 6.2, 6.3 |HLT 10-4 |

| |G8S3C3PO6 |Translate a sentence written in context into an algebraic inequality | | |6.2 |HLT 10-4 |

| |G8S3C3PO7 |Identify an equation or inequality that represents a contextual | | |6.2 |HLT 10-4 |

| | |situation | | | | |

| |G7S4C1PO9 |Determine whether three given lengths can form a triangle | | |6.3 Extension |Alt. Res. |

| |G8S4C1PO9 | | | | | |

|Week 14 – Graphing Linear & Absolute Value Inequalities in Two Variables |

|S4C3PO3 | |Graph a linear inequality in two variables |Include absolute value inequalities as well | |6.5 |HLT 11-6, Tech |

| | | | | | |Lab |

| | | | | | |P 581 |

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|Week 15 – Basic Probability |

|S2C2PO1 |G7S2C2PO1 |Find the probability that a specific event will occur, with or without | | |11.4 |HLT 9-1 thru 9-4|

| |G8S2C2PO1 |replacement | | | |Alt. Res. |

|TUHSD11.2 | |Find the odds for the success or failure of an event |Develop this along with probability and compare and | |11.4 |HLT 9-1 thru 9-4|

| | | |contrast the two measures | | |Alt. Res. |

|S2C2PO3 |G7S2C2PO3 |Predict the outcome of a grade-level appropriate probability experiment| | |Alt. Res. |WYE 5 |

| |G8S2C2PO3 | | | | | |

|S2C2PO4 |G7S2C2PO4 |Record the data from performing a grade-level appropriate probability | | |Alt. Res. |WYE 5 |

| |G8S2C2PO4 |experiment | | | | |

|S2C2PO5 |G7S2C2PO5 |Compare the outcome of an experiment to predictions made prior to | | |Alt. Res. |WYE 5 |

| |G8S2C2PO5 |performing the experiment | | | | |

|S2C2PO7 |G7S2C2PO7 |Compare the results of two repetitions of the same grade-level | | |Alt. Res. |WYE 5, 6, |

| |G8S2C2PO7 |appropriate probability experiment | | | | |

|Week 16 – Independent vs Dependent Events |

|S2C2PO1 |G7S2C2PO1 |Find the probability that a specific event will occur, with or without | | |Alt. Res. |WYE 6, 7 |

| |G8S2C2PO1 |replacement | | | | |

|S2C2PO3 |G7S2C2PO3 |Predict the outcome of a grade-level appropriate probability experiment| | |Alt. Res. |WYE 6, 7 |

| |G8S2C2PO3 | | | | | |

|S2C2PO4 |G7S2C2PO4 |Record the data from performing a grade-level appropriate probability | | |Alt. Res. |WYE 6, 7 |

| |G8S2C2PO4 |experiment | | | | |

|S2C2PO5 |G7S2C2PO5 |Compare the outcome of an experiment to predictions made prior to | | |Alt. Res. |WYE 6, 7 |

| |G8S2C2PO5 |performing the experiment | | | | |

|S2C2PO7 |G7S2C2PO7 |Compare the results of two repetitions of the same grade-level | | |Alt. Res. |WYE 6, 7 |

| |G8S2C2PO7 |appropriate probability experiment | | | | |

|S2C3PO1 |G8S2C3PO1 |Determine the number of outcomes for a contextual event using a chart, | | |Alt. Res. |WYE 7 |

| | |a tree diagram, or the counting principle | | | | |

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|Week 17 – Review for Midterm |

|There are a number of resources available, including the review packet supplied by TUHSD for this purpose. |

|Week 18 – Midterm Exam |

|You can continue your review the first half of this week. |

|Week 19 – Vertex-Edge Graphs |

| |G7S2C4PO1 |Find the shortest circuit on a map that makes a tour of specified sites|There are a number of discrete math activities that | |Alt. Res. |Alt. Res. |

| | |(vertex-edge graph) |can be used here | | | |

| |G8S2C4PO1 |Solve contextual problems represented by vertex-edge graphs |There are a number of discrete math activities that | |Alt. Res. |Alt. Res. |

| | | |can be used here | | | |

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| Standard |Objective |Instructional Strategy |( |Resources |

|AZ KSD | | | |Heath Other |

|Week 20 – Systems of Equations |

|S4C3PO2 | |Graph a linear equation in two variables |“The Speeding Ticket Problem” is an excellent is an | |7.1 |HLT 11-7 |

| | | |excellent activity for this unit. Use during week 20 | | |Extension. |

| | | |& 21 | | | |

|S4C3PO4 | |Determine the solution to a system of equations in two variables from a| | |7.1 |Alt. Res. |

| | |given graph | | | | |

|S3C3PO12 | |Solve systems of linear equations in two variables (integral | | |7.1, 7.2, 7.3 |HLT 10-6 |

| | |coefficients and rational solutions) | | | | |

|Week 21 – Problem Solving with Linear Systems |

|S3C2PO9 | |Determine from two linear equations whether the lines are parallel, | | |7.5 |HLT 11-3 Ex. 3 |

| | |perpendicular, coincident, or intersecting but not perpendicular | | | | |

|S3C2PO7 | |Express the relationship between two variables using tables/matrices, | | |7.5 |Alt. Res. |

| | |equations, or graphs | | | | |

| |G7S4C1PO6 |Identify the properties of angles created by a transversal intersecting|This is a good time to review parallel lines, | |Alt. Res. |HLT 5-2 |

| |G8S4C1PO6 |two parallel lines |transversals and their angles | | | |

|S4C3PO3 | |Graph a linear inequality in two variables |Include absolute value inequalities as well | |7.6 |Alt. Res. |

|S3C2PO6 | |Determine the solution to a contextual maximum/minimum problem, given | | |7.7 |Alt. Res. |

| | |the graphical representation | | | | |

|Week 22 – Properties of Exponents |

|S3C3PO2 | |Simplify algebraic expressions | | |8.1, 8.2, 8.3 |HLT 2-7, 2-8, |

| | | | | | |Tech Lab p 103 |

|S3C3PO3 | |Multiply and divide monomial expressions with integral exponents | | |8.1, 8.2, 8.3 |HLT 2-7, 2-8 |

|S3C3PO14 | |Calculate powers and roots of real numbers, both rational and | | |8.1, 8.2, 8.3 |HLT 3-9 |

| | |irrational, using technology when appropriate | | | | |

| |

|Week 23 – Scientific Notation & Exponential Functions |

|S1C2PO6 | |Compute with scientific notation | | |8.4, 8.5 |Alt. Res. |

|S3C1PO1 |G7S3C1PO1 |Communicate a grade-level appropriate iterative or recursive pattern, |Use Problems 1.2, 1.2, 2.1, 2.2, 3.2, 4.3, 4.4 from | |8.6, 8.7 |GGG 1, 2, 4 |

| |G8S3C1PO1 |using symbols of numbers |GGG as needed | | | |

|S3C1PO2 |G7S3C1PO2 |Find the nth term of an iterative or recursive pattern |Use Problems 1.2, 1.2, 2.1, 2.2, 3.2, 4.3, 4.4 from | |8.6, 8.7 |GGG 1, 2, 4 |

| |G8S3C1PO2 | |GGG as needed | | | |

| |G7S3C1PO3 |Solve problems in contextual situations using iterative and recursive |Use Problems 1.2, 1.2, 2.1, 2.2, 3.2, 4.3, 4.4 from | |8.6, 8.7 |GGG 1, 2, 4 |

| |G8S3C1PO3 |patterns |GGG as needed | | | |

|Week 24 – Square Roots & Quadratic Functions |

|S3C3PO14 |G8S1C2PO3-5 |Calculate powers and roots of real numbers, both rational and | | |9.1 |HLT 3-9 |

| | |irrational, using technology when appropriate | | | | |

|S3C3PO17 | |Solve quadratic equations | | |9.2 |FFP 1, 2 |

|S4C3PO1 | |Graph a quadratic equation with a coefficient equal to one | | |9.3, 9.6 |FFP 1, 2 |

| | | | | | |HLT 12-7 |

|Week 25 – Polynomials & FOIL |

|S3C3PO17 | |Solve quadratic equations |Understanding how to perform operations with | |10.1, 10.2, |FFP 2, 3 |

| | | |polynomials are prerequisite skills needed to solve | |10.3 |SWS 4.4 |

| | | |quadratic equations | | | |

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|Week 26 – Factoring I |

|S3C3PO2 | |Simplify algebraic expressions | | |10.4, 10.5, |SWS 4.4 |

| | | | | |10.6 | |

|S3C1PO17 | |Solve quadratic equations | | |10.4, 10.5, |SWS 4.4 |

| | | | | |10.6 | |

|TUHSD4.5 | |Factor polynomials | | |10.4, 10.5, |SWS 4.4 |

| | | | | |10.6 | |

|TUHSD4.6 | |Solve equations by factoring and applying the zero product property | | |10.4, 10.5, |SWS 4.4 |

| | |rule | | |10.6 | |

|Week 27 – Factoring II – Completing the Square |

|S3C3PO2 | |Simplify algebraic expressions | | |10.7 |Alt. Res. |

|S3C3PO17 | |Solve quadratic equations |Completing the square in an important skill used to | |10.7 |Alt. Res. |

| | | |write equations for conic sections in standard form to| | | |

| | | |aid in graphing and performing transformations on | | | |

| | | |these functions | | | |

|S4C3PO17 | |Graph a quadratic equation with a coefficient equal to one |Show how the standard form of a quadratic, y = (x-h)2 | | |Alt. Res. |

| | | |+ k, provides an easy way to transform the quadratic | | | |

| | | |and its graph | | | |

|Week 28 – Quadratic Formula & the Discriminant |

|S3C3PO2 | |Simplify algebraic expressions | | |9.4, 9.5 |Alt. Res. |

|TUHSD9.3 | |Evaluate the discriminant of a quadratic equation to determine the | | |9.4, 9.5 |Alt. Res. |

| | |nature of the roots of the equation | | | | |

|S3C3PO17 | |Solve quadratic equations |Use completing the square to show the derivation of | |9.4, 9.5 |Alt. Res. |

| | | |the quadratic formula | | | |

| Standard |Objective |Instructional Strategy |( |Resources |

|AZ KSD | | | |Heath Other |

|Week 29 – Surface Area/Volume Review |

| |G8S5C1PO1 |Solve problems for the area of a trapezoid | | |Alt. Res. |HLT 6-2 |

| |G7S4C1PO5 |Draw regular polygons with appropriate labels such as sides, vertex, | | |Alt. Res. |HLT 6-5 |

| |G8S4C1PO5 |altitude | | | | |

| |G8S5C1PO2 |Solve problems involving the volume of regular prisms and cylinders | | |Alt. Res. |HLT 6-6 |

| |G8S5C1PO4 |Identify rectangular prisms and cylinders having the same volume | | |Alt. Res. |HLT 6-8 |

| |G8S5C1PO3 |Calculate the surface area of rectangular prisms or cylinders | | |Alt. Res. |HLT 6-6 |

|Week 30 – Radicals, Pythagorean Theorem & Distance |

| |G8S4C1PO14 |Verify the Pythagorean Theorem using an area dissections argument | | |13.1 |HLT 6.3, Alt. |

| | | | | | |Res. |

| |G8S3C3PO13 |Solve applied problems using the Pythagorean Theorem | | |13.1 |HLT 6.3 |

|S4C3PO7 |G8S4C3PO1 |Find the distance between two points in the coordinate plane | | |13.1 |Alt. Res. |

|S4C3PO5 |G8S4C3PO2 |Determine the midpoint given two points in a coordinate plane | | |13.1 |Alt. Res. |

|S3C3PO14 | |Calculate powers and roots of real numbers, both rational and | | |13.1, 13.2, |HLT 3-8. 3-9. |

| | |irrational, using technology when appropriate | | |13.3 |Lab 3B |

|S3C3PO15 | |Simplify square roots and cube roots with monomial radicands (including| | |13.1, 13.2, |HLT 3-8. 3-9. |

| | |those with variables) that are perfect squares or perfect cubes | | |13.3 |Lab 3B |

|Week 31 – Solving Radical Equations |

|S3C3PO16 | |Solve square root radical equations involving only one radical | | |13.4 |Alt. Res. |

|S3C3PO17 | |Solve quadratic equations | | |13.4 |Alt. Res. |

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|Week 32 – AIMS Testing/ Proportions & Percents |

|S3C3PO11 |G7S1C2PO13 |Solve an algebraic proportion | | |11.1, 11.2, |Alt. Res. |

| |G8S3C3PO12 | | | |11.3 | |

| |G8S1C2PO9 |Find any missing values in percent calculations | | |11.1, 11.2 |Alt. Res. |

|Week 33 – Rational Expressions & Polynomial Division |

|S3C3PO2 | |Simplify algebraic expressions | | |11.5, 11.6, |Alt. Res. |

| | | | | |11.7 | |

|TUHSD5.1 | |Simplify rational expressions | | |11.5, 11.6, |Alt. Res. |

| | | | | |11.7 | |

|Week 34 – Solving Rational Equations |

|S3C3PO11 |G7S1C2PO13 |Solve an algebraic proportion | | |11.8 |Alt. Res. |

| |G8S3C3PO12 | | | | | |

|TUHSD5.2 | |Solve rational algebraic equations | | |11.8 |Alt. Res. |

|Week 35 – Review For Final Exam |

|There are a number of resources available, including the review packet supplied by TUHSD for this purpose. |

|Week 36 – Review For Final Exam |

|There are a number of resources available, including the review packet supplied by TUHSD for this purpose. |

|Week 37 – Final Exam |

|You can continue your review the first half of this week. |

|Week 38 – Last Week of School |

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