Standard Indicator: Core Standard 1A, 3A
|Michigan City Area Schools |
|Basic Pre-Algebra |
|Ongoing/All Year |1st Quarter |2nd Quarter |3rd Quarter |4th Quarter |
| |Assessment Type |Assessment Type |Assessment Type |Assessment Type |
|Writing Process |Bundle |Bundle |Bundle |Bundle |
|Reading Process | | | | |
|Problem Solving |#1 |#2 |#4 |#5 |
| |#2 |#3 | |#6 |
| |Instructional Methods |Instruction Methods |Instructional Methods |Instructional Methods |
| |Identifying Similarities & Differences |Identifying Similarities & Differences |Identifying Similarities & Differences|Identifying Similarities & Differences|
| |Summarizing & Note Taking |Summarizing & Note Taking |Summarizing & Note Taking |Summarizing & Note Taking |
| |Homework & Practice |Homework & Practice |Homework & Practice | |
| |Nonlinguistic Representation |Nonlinguistic Representation |Nonlinguistic Representation |Homework & Practice |
| |Cooperative Learning Groups |Cooperative Learning Groups |Cooperative Learning Groups |Nonlinguistic Representation |
| |Setting Objective/Providing Feedback |Setting Objective/Providing Feedback |Setting Objective/Providing Feedback |Cooperative Learning Groups |
| |Generating & Testing Hypothesis |Generating & Testing Hypothesis |Generating & Testing Hypothesis |Setting Objective/Providing Feedback |
| |Cues, Questioning, & Advance Organizers |Cues, Questioning, & Advance Organizers |Cues, Questioning, & Advance |Generating & Testing Hypothesis |
| |Direct Vocabulary Instruction |Direct Vocabulary Instruction |Organizers |Cues, Questioning, & Advance |
| | | |Direct Vocabulary Instruction |Organizers |
| | | | |Direct Vocabulary Instruction |
Basic Pre-Algebra
Essential Outcomes
1. The laws of exponents are used to evaluate expressions. (Core Standard 1A)
Learning goals:
1. Students will be able to read and write problems using decimals in scientific
notation. (8.1.1)
2. Students will be able to compare problems using decimals in scientific
notation. (8.1.1)
3. Students will be able to solve problems using decimals in scientific notation.
(8.1.1)
4. Students will be able to use the laws of integer exponents. (8.1.4; 8.1.5)
5. Students will be able to use order of operations. (8.3.4)
2. Evaluate square root operations (Core Standard 1B)
Learning goals:
1. Students will be able to identify rational and irrational numbers. (8.1.2)
2. Students will understand the relationship between squares and square roots.
(8.1.6)
3. Students will be able to calculate and find approximations of square roots.
(8.1.7)
3. Constructions help to identify geometric relationships. (Core Standard 2A)
Learning goal:
1. Students will be able to identify and describe basic properties of geometric
shapes. (8.4.1)
2. Students will be able to perform simple constructions. (8.4.2)
3. Students will be able to draw geometric shapes. (8.4.4)
4. Rates and units are used to solve problems. (Core Standard 2C)
Learning goals:
1. Students will be able to use various tools for common measurements. (8.5.1)
2. Students will be able to solve problems involving rates and proportions.
(8.5.2)
3. Students will be able to solve percent problems. (8.2.2)
5. Formulas are used to find surface area and volume of geometric solids.(Core Standard 2D)
Learning goals:
1. Students will be able solve ratio and proportion problems. (8.5.3)
2. Students will be able to use formulas to find perimeter and area. (8.5.4)
3. Students will be able to use surface area and volume. (8.5.4)
6. Equations and inequalities are used to solve for the unknown. (Core Standard 3A)
Learning goals:
1. Students will be able to add, subtract, multiply, and divide rational numbers.
(8.2.1)
2. Students will be able to write and solve equations with one variable. (8.3.1)
3. Students will be able to write and solve inequalities with one variable. (8.3.1)
4. Students will be able to justify a solution. (8.3.1)
7. Linear equations are used to solve problems. (Core Standard 3B)
Learning goals:
1. Students will be able to identify the slope of a line. (8.3.5)
2. Students will understand and apply the relationship among tables, equations,
word problems, and the graph of a line. (8.3.8)
8. Analyze and evaluate data for everyday applications. (Core Standard 4A and 4B)
Learning goals:
1. Students will be able to interpret data. (8.6.1; 8.7.2)
2. Students will represent data in a number line and in tables. (8.6.2)
4 Students will be able to represent data with a scatterplot. (8.6.5)
3. Students will be able to explain which type of display is appropriate for
various data sets. (8.6.4; 8.7.1)
9. Experimentation is used to compute probability. (Core Standard 4C)
Learning goals:
1. Students will understand and recognize equally likely events. (8.6.6)
2. Students will understand the difference between probability and odds. (8.6.6)
Basic Pre-Algebra Bundle #1 – Integer Operations
|Standard Indicator: Core Standard 3A |
|Essential Outcome: Equations and inequalities are used to solve for the unknown |
| |
|8.3.1 Write and solve linear inequalities |
|Declarative |Procedural |
|Concepts (Essential |Equations and inequalities are used to solve for the unknown. |Process |Reading Process |
|Outcomes) | | | |
|Organizing Ideas |Students will be able to use order of operations. | | |
|(Learning Goals) |Students will be able to write and solve equations with one variable. | | |
| |Students will be able to write and solve inequalities with one variable. | | |
|Details |Variables represent an unknown value. |Skills |Solve linear equations and inequalities. |
| |Identify the difference between a linear equation (=) and inequality (). | | |
| |Identify the steps needed to solve an equation or inequality. | | |
| |Identify the steps in the order of operations. | | |
|Vocabulary |Variable | | |
| |Expression | | |
| |Linear | | |
| |inequality | | |
Basic Pre-Algebra Bundle #2- Rational Numbers
|Standard Indicator: Core Standard 1A, 1B and 3A |
|Essential Outcome: The laws of exponents are used to evaluate expressions. |
|Evaluate square root operations and identify rational and irrational numbers. |
|Equations and inequalities are used to solve for the unknown. |
|1.1 Identify claims based on statistical data and in simple cases evaluate the reasonableness of the claims. |
|1.2 Identify different ways of selecting samples |
|1.4 Analyze, interpret and display data |
|1.5 Display two variable data |
|Declarative |Procedural |
|Concepts (Essential |Analyze and evaluate data for everyday applications. |Process |Reading process |
|Outcomes) | | |Writing process |
| | | |Orders of Operation |
|Organizing Ideas |Students will be able to read and write problems using decimals. | | |
|(Learning Goals) |Students will be able to compare problems using decimals. | | |
| |Students will be able to solve problems using decimals. | | |
| |Students will be able to add, subtract, multiply and divide rational numbers. | | |
|Details |Understand the difference between repeating, non-repeat decimals. |Skills |Solve equations by adding, subtract, multiply and |
| |Understand how to add, subtract, multiply decimals. | |divide rational numbers in multi-step problems. |
|Vocabulary |Decimal | | |
| |Rational numbers | | |
| |equations | | |
|Standard Indicator: Core Standards 2C |
|Essential Outcome: Rates and units are used to solve problems |
|2.2 Solve percent, ratio and proportion problems |
|Declarative |Procedural |
|Concepts (Essential |Rates and units are used to solve problems |Process |Reading process. |
|Outcomes) | | |Writing process |
| | | |Oder of Operations |
|Organizing Ideas |Students will be able to use tools for common measurements. | | |
|(Learning Goals) |Students will be able to solve problems involving rates and | | |
| |proportions. | | |
| |Students will be able to solve percent problems. | | |
|Details |Know how to convert between percents, fractions and decimals. |Skills |Convert common measurements to equivalent measurements within the |
| |Know how to set up proportions. | |same system. |
| | | |Solve problems involving scale factors using ratio and proportion. |
| | | |Solve proportion problems. |
|Vocabulary |proportion, scale, percent | | |
Basic Pre-Algebra Bundle # 3: Rates, Proportions and Percent Operations
Basic Pre-Algebra Bundle # 4: Geometry
|Standard Indicator: Core Standards 2A, 2D |
|Essential Outcome: Constructions help to identify geometric relationships |
|Formulas are used to find surface area and volume of geometric solids |
|4.1 Perform basic compass and straightedge constructions |
|4.4 Identify, define and describe properties of three-dimensional geometric objects |
|5.4 Use scale factors to find the area and volume of similar figures |
|5.5 Find and use the surface area and volume of cones, spheres, and pyramids |
|Declarative |Procedural |
|Concepts (Essential |Constructions help to identify geometric relationships |Process |Reading process. |
|Outcomes) |Formulas are used to find surface area and volume of geometric solids| |Writing process. |
|Organizing Ideas |Students will be able to identify and describe basic properties of | | |
|(Learning Goals) |geometric shapes. | | |
| |Students will be able to draw geometric shapes. | | |
| |Students will be able to use formulas to find perimeter and area. | | |
| |Students will be able to use surface area and volume. | | |
|Details |Identify geometric shapes (quadrilaterals, triangles, circles, |Skills |Describe basic properties of geometric shapes including radius, |
| |pentagon, hexagon, and octagon). | |diameter, height, etc. |
| | | |Solve problems using perimeter, area, surface area and volume. |
| |Identify the formulas for perimeter, area, surface area and volume | | |
| |for basic two- and three-dimensional shapes. | | |
|Vocabulary |altitudes (height) diameter volume | | |
| |diagonals surface | | |
| |Radius area | | |
Basic Pre-Algebra Bundle #5: Analyze and Evaluate Data
|Standard Indicator: Core Standards 4A, 4B, 4C |
|Essential Outcome: Analyze and evaluate data for everyday applications. |
|Experimentation is used to compute probability. |
|6.1 Identify claims based on statistical data |
|6.2 Indentify different methods of selecting samples |
|6.3 Use mean, median, mode to compare data |
|6.4 Analyze, interpret and display data |
|6.5 Display two-variable data |
|Declarative |Procedural |
|Concepts |Analyze and evaluate data for everyday applications. |Process |Writing process. |
| | | |Reading process. |
|Organizing Ideas |Students will be able to interpret data. | | |
|(Learning Goals) |Students will represent data in a number line and in tables. | | |
| |Students will be able to explain which type of display is appropriate for various | | |
| |data sets. | | |
| | | | |
|Details |Identify claims based on statistical data. |Skills |Evaluate the reasonableness of claims based on statistical|
| |Identify different methods of selecting samples. | |data. |
| |Identify the characteristics and uses of bar, line and circle graphs. | |Identify or compute median. |
| | | |Analyze, interpret and display single- and two-variable |
| | | |data in appropriate bar, line, and circle graphs |
| | | |Explain which types of display are appropriate for various|
| | | |data sets. |
|Vocabulary | Median | | |
| |Bar Graph | | |
| |Line Graph | | |
| |Statistical Data | | |
| |Data | | |
| |Circle Graph | | |
| |Characteristics | | |
Basic Algebra Bundle #6 Real Numbers
|Standard Indicator: Algebra |
|Standard 1: Understand and Use Operations |
|with Real Numbers. |
|1.3 Solve equations and formulas for a specified variable |
|6.1 Use linear functions and linear equations to represent, analyze and solve problems |
|Declarative Knowledge |Procedural Knowledge |
|Concepts |There are rules used to simplify expressions and equations |Processes |Order of operations. |
| | | |Reading Process |
| | | |Writing Process |
|Organizing |Students will understand the four operations with real numbers. | | |
|Ideas |Students will apply order of operations to simplify and solve equations and | | |
| |inequalities | | |
|Details |Rules: |Skills |Apply the rules to simplify expressions |
| |Associative | |Use a calculator to add, subtract, multiply, and divide |
| |(a + b) + c = a + (b+ c) | | |
| |Commutative | | |
| |a + b = b + c | | |
| |Properties of equality | | |
| |Properties of one and zero | | |
|Vocabulary |Distributive, like/unlike, Associative, commutative, variable, parentheses, | | |
| |grouping symbols, brackets, fraction bar | | |
Assessment Planning Guide Pre-Algebra
Bundle #1- Integer Operations
|Essential Outcomes: |
|Equations and inequalities are used to solve for the unknown. |
|Summative Assessment: |
|Use order of operations to solve equations –given 10 multiple choice questions students will solve problems |
|Write and solve equations with one variable |
|Write and solve inequalities with one variable |
|Describe Assessment & Timeline |Method |Testing |Testing |Testing |Testing |
| | |Knowledge |Reasoning/Analysis |Performance |Product |
| | | | |Skill | |
|Formative 1: |Given 3-5 multiple choice questions |x |x | | |
|Students will be able to use order of operations. |students will solve problems using | | | | |
| |order of operations. | | | | |
|Timeline:2-3 weeks | | | | | |
|Formative 2: |Given 3-5 multiple choice questions |x |x | | |
|Students will be able to write and solve equations with one |students will solve problems with one | | | | |
|variable. |variable | | | | |
| | | | | | |
|Timeline:2-3 weeks | | | | | |
| Formative 3: |Given 3-5 multiple choice questions |x |X | | |
|Students will be able to write and solve inequalities with one |student will solve problems with | | | | |
|variable. |inequalities with one variable | | | | |
|Timeline 2-3 weeks | | | | | |
Assessment Planning Guide Basic Pre-Algebra
Bundle #2- Exponents, Rational and Irrational Numbers
|Essential Outcome: |
|The laws of exponents are used to evaluate expressions. |
|Evaluate square root operations and identify rational and irrational numbers. |
|Equations and inequalities are used to solve for the unknown. |
|Summative Assessment: |
|Read and write problems using decimals |
|Compare problems using decimals |
|Solve problems using decimals given 10 multiple choice problems students will solve |
|Subtract, multiply, and divide rational numbers |
|Describe Assessment & Timeline |Method |Testing |Testing |Testing |Testing |
| | |Knowledge |Reasoning/Analysis |Performance |Product |
| | | | |Skill | |
|Formative 1: |Orally given 3-5 numbers with decimals student will read and write the |x |x |x | |
|Students will be able to read and |numbers. | | | | |
|write problems using decimals. | | | | | |
|Timeline:2-3 weeks | | | | | |
|Formative 2: |Given 3-5 multiple choice problems with decimals students will use =, |x |x | | |
|Students will be able to compare | | | | | |
|problems using decimals. | | | | | |
|Timeline:2-3 weeks | | | | | |
|Formative 3: |Given 3-5 multiple choice problems with decimals students will write |x |x | | |
|Students will be able to solve |and solve problems. | | | | |
|problems using decimals. | | | | | |
|Timeline2-3weeks | | | | | |
|Formative 4: |Given 3-5 multiple choice problems students will perform the four basic |x |x | | |
|Students will be able to add, |operations on rational numbers | | | | |
|subtract, multiply and divide rational| | | | | |
|numbers. | | | | | |
|Timeline2-3 weeks | | | | | |
Assessment Planning Guide Basic Pre-Algebra
Bundle #3- Rates, Proportions and Percent Operations
|Essential Outcome: Rates and units are used to solve problems |
|Summative Assessment: |
|Use various tools for common measurements given 10 multiple choice questions student swill solve problems |
|Solve problems involving rates and proportions |
|Solve percent problems |
|Describe Assessment & Timeline |Method |Testing |Testing |Testing |Testing |
| | |Knowledge |Reasoning/Analysis |Performance |Product |
| | | | |Skill | |
|Formative 1: | |x |x |x | |
|Students will be able to use various |Given 3-5 problems, students will use various tools to measure different | | | | |
|tools for common measurements. |items. | | | | |
|Timeline:2-3 weeks | | | | | |
|Formative 2: |given written directions students will use ratio and proportions to mix |x |x |x |x |
|Students will be able to solve |two products | | | | |
|problems involving rates and | | | | | |
|proportions. | | | | | |
|Timeline: 2-3 weeks | | | | | |
|Formative 3: |Given 3-5 multiple choice problems student will solve problems for 6% |x |X | | |
|Students will be able to solve percent|sales tax. | | | | |
|problems. | | | | | |
|Timeline2-3 weeks | | | | | |
Assessment Planning Guide Basic Pre-Algebra
Bundle #4-Geometry
|Essential Outcome: Constructions help to identify geometric relationships |
|Formulas are used to find surface area and volume of geometric solids |
|Summative Assessment: |
|Identify and describe basic properties of geometric shapes - given 15 multiple choice question students will solve the problems |
|Draw geometric shapes |
|Use formulas to find perimeter and area |
|Use formulas to find surface area and volume |
|Describe Assessment & Timeline |Method |Testing |Testing |Testing |Testing |
| | |Knowledge |Reasoning/Analysis |Performance |Product |
| | | | |Skill | |
|Formative 1: |Given 3-5 geometric shapes students will match shapes|x |x | | |
|Students will be able to identify and describe basic |to definitions | | | | |
|properties of geometric shapes. | | | | | |
|Timeline:2-3 weeks | | | | | |
|Formative 2: |Given a list of 3-5 geometric shapes students will |x |x |x | |
|Students will be able to draw geometric shapes |draw the shapes | | | | |
|Timeline: 2-3 weeks | | | | | |
|Formative 3: |Given 3-5 multiple choice students will use formulas|x |x | | |
|Students will be able to use formulas to find perimeter and |to solve for perimeter and area | | | | |
|area. | | | | | |
|Timeline: | | | | | |
|Formative 4: |Given 3-5 multiple choice questions students will |x |x | | |
|Students will use formula to calculate surface area and |calculate surface area and volume | | | | |
|volume | | | | | |
|Timeline2-3 weeks | | | | | |
| | | | | | |
Assessment Planning Guide Basic Pre-Algebra
Bundle #5- Linear Equations
|Essential Outcome: |
|Linear equations are used to solve problems |
|Summative Assessment: |
|Interpret data |
|Understand number lines and graphs |
|Explain which type of display is appropriate |
|Describe Assessment & Timeline |Method |Testing |Testing |Testing |Testing |
| | |Knowledge |Reasoning/Analysis |Performance |Product |
| | | | |Skill | |
|Formative 1: |Given 2-3 different types of graphs student will interpret data |x |x | | |
|Students will be able to interpret data. | | | | | |
|Timeline: 2-3 weeks | | | | | |
|Formative 2: |Given data students will construct a number line and table |x |x |x |x |
|Students will represent data on a number line | | | | | |
|and in tables.. | | | | | |
|Timeline:2-3 weeks | | | | | |
|Formative 3: |Given data students will construct the appropriate graph for the |x |x |x |x |
|Students will be able to explain which type of|given data | | | | |
|display is appropriate for various data sets. | | | | | |
|Timeline2-3 week | | | | | |
| | | | | | |
Assessment Planning Guide
Bundle #6- Analyze and Evaluate Data
|Essential Outcome: Analyze and evaluate data for everyday applications. |
|Experimentation is used to compute probability |
|Summative Assessment: |
|Understand four operations with real numbers- Given 10 multiple choice questions students will solve problems. |
|Apply order of operations for equations and inequalities |
|Describe Assessment & Timeline |Method |Testing |Testing |Testing |Testing |
| | |Knowledge |Reasoning/Analysis |Performance |Product |
| | | | |Skill | |
|Formative 1: |Given 3-5 multiple choice problems students will perform |x |x | | |
|Students will understand the four operations with real|the four basic operations on real numbers | | | | |
|numbers. | | | | | |
| | | | | | |
| | | | | | |
|Timeline: 2-3 weeks | | | | | |
|Formative 2: |Given 3-5 multiple choice questions students will solve |x |x | | |
|Students will apply order of operations to simplify |problems using order of operation | | | | |
|and solve equations and inequalities | | | | | |
| | | | | | |
| | | | | | |
|Timeline: 2-3 weeks | | | | | |
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