MOVE IT Math Lesson



Franklin Township Public Schools

Mathematics Curriculum Map

Grade 6

Second Marking Period, Section 1

DRAFT 10/09

New Jersey Core Curriculum Content Standards (NJCCCS)

Standard 4.2 Geometry and Measurement All students will develop spatial sense and the ability to use geometric properties, relationships, and measurement to model, describe and analyze phenomena.

Strand: Coordinate Geometry

CPI: 4.2.6 C.1 Create geometric shapes with specified properties in the first quadrant on a coordinate grid.

Strand: Measuring Geometric Objects

CPI: 4.2.6 E.2 Develop and apply strategies and formulas for finding perimeter and area.

• Triangle, square, rectangle, parallelogram, and trapezoid

• Circumference and area of a circle

CPI: 4.2.6 E.4 Recognize that shapes with the same perimeter do not necessarily have the same area and vice versa.

Standard 4.3 Patterns and Algebra All students will represent and analyze relationships among variable quantities and solve problems involving patterns, functions, and algebraic concepts and processes

Strand: Functions and Relationships

CPI: 4.3.6 B.1 Describe the general behavior of functions given by formulas or verbal rules (e.g., graph to determine whether increasing or decreasing, linear or not).

Strand: Modeling

CPI: 4.3.6 C.1 Use patterns, relations, and linear functions to model situations.

• Using variables to represent unknown quantities

• Using concrete materials, tables, graphs, verbal rules, algebraic expressions/equations/inequalities

Strand: Procedures

CPI: 4.3.6 D.3 Evaluate numerical expressions.

Standard 4.5 Mathematical Processes (On-going) All students will use mathematical process of problem solving, communication, connections, reasoning, representations, and technology to solve problems and communicate mathematical ideas.

DRAFT 10/09 Grade 6, Section 1 of Second Marking Period – 4-7 days

|Warm-Up |Problem Solving Resources |

|On-going activities: Math facts, “Warm-up Exercises”, mental math |20-minute problems |

| |Performance standards |

|NJCCCS |Objective |Teacher Resources |Student Materials |

|4.3.6 B.1 |Explore functions from rules (Mod 4: S5). |Math Thematics |Labsheet 5B |

| | |Module 4: Section 5 | |

| |Review plotting points in 1st quadrant on coordinate grid—4th grade | |Centimeter graph paper |

|4.2.4 C.1 |(Mod 4: S5). |Centimeter graph paper | |

| | | |Graph paper (any size grid) |

| |Create geometric shapes with specified properties in the first |Graph paper (any size grid) | |

|4.2.6 C.1 |quadrant on a coordinate grid—infuse using supplemental materials. | | |

| | |Labsheet 5A | |

| |Explore variables, expressions, and equations (Mod 4: S5). | | |

| | |Module 4 Project activity (p. 292), optional | |

|4.3.6 C.1 |Evaluate numerical expressions (Mod 4: S5). | | |

| | | | |

| |Develop strategies and formulas for finding perimeter and area of | | |

| |rectangles (Mod 4: S5). | | |

|4.3.6 D.3 | | | |

| |Recognize that shapes with the same perimeter do not necessarily have | | |

| |the same area and vice versa (Mod 4: S5 and supplemental materials). | | |

|4.2.6 E.2 | | | |

| | | | |

| | | | |

|4.2.6 E.4 | | | |

| | | | |

|Suggested Assessments |

|“Checkpoint Questions” Observational assessments Journal entries |

|“Embedded Assessment Exercises” Performance standards |

|“Performance Task/Portfolio” |

Franklin Township Public Schools

Mathematics Curriculum Map

Grade 6

Second Marking Period, Section 2

DRAFT 10/09

New Jersey Core Curriculum Content Standards (NJCCCS)

Standard 4.1 Number and Numerical Operations All students will develop number sense and will perform standard numerical operations and estimations on all types of numbers in a variety of ways

Strand: Number Sense

CPI: 4.1.6 A.1 Use real-life experiences, physical materials, and technology to construct meanings for numbers (unless otherwise noted, all indicators for grade 6 pertain to these sets of numbers as well).

• All integers

• All fractions as part of a whole, as subset of a set, as a location on a number line, and as divisions of whole numbers

• All decimals

4.1.6 A.3 Demonstrate a sense of the relative magnitudes of numbers.

4.1.6 A.8 Compare and order numbers.

Strand: Numerical Operations

CPI: 4.1.6 B.2 Construct, use, and explain procedures for performing calculations with fractions and decimals with:

• Pencil-and-paper

• Mental math

• Calculator

Strand: Estimation

CPI: 4.1.6 C.1 Use a variety of strategies for estimating both quantities and the results of computations.

4.1.6 C.4 Determine whether a given estimate is an overestimate or an underestimate.

Standard 4.2 Geometry and Measurement All students will develop spatial sense and the ability to use geometric properties, relationships, and measurement to model, describe and analyze phenomena.

Strand: Units of Measurement

CPI: 4.2.6 D.3 Convert measurement units within a system (e.g., 3 feet = ___ inches).

4.2.6 D.5 Use measurements and estimates to describe and compare phenomena.

Standard 4.5 Mathematical Processes (On-going) All students will use mathematical process of problem solving, communication, connections, reasoning, representations, and technology to solve problems and communicate mathematical ideas

DRAFT 10/09 Grade 6, Section 2 of Second Marking Period – 16-19 days

|Warm-Up |Problem Solving Resources |

|On-going activities: Math facts, “Warm-up Exercises”, mental math |20-minute problems |

| |Performance standards |

|NJCCCS |Objective |Teacher Resources |Student Materials |

|4.1.6 A.1 |Explore fractions and mixed numbers, including equivalent fractions |Math Thematics |Mod 2: Labsheets 2A, 2B, 2C, 3A, 3B |

| |and simplifying fractions |Module 2: Sections 2 and 3 | |

| |(Mod 2: S2 and 3 and Mod 4: S6 – Exp 2). |Module 4: Section 6 – Exploration 2 |Pattern blocks |

| | |Module 5: Sections 1 , 3, and 4 | |

| |Compare and order fractions and understand relative magnitudes (Mod 5:|Sections 2 and 5 – Exploration 1 |Geoboards and geobands |

|4.1.6 A.3 |S1). |Module 7: Section 3 – Exploration 1 | |

|4.1.6 A.8 | | |Dot paper |

| | |Mod 2: Dot Paper | |

| |Review addition and subtraction of fractions and mixed numbers, | |Mod 5: Labsheet 4A |

| |including estimating sums and differences and determining over and |Module 2 Project activity (p. 118), optional | |

|4.1.6 B.2 |under estimates (Mod 5: S3 and 4). | |Ruler and scissors |

|4.1.6 C.1 | |Manipulatives in Student Materials and overhead manipulatives | |

|4.1.6 C.4 |Explore customary measurements of length, capacity, and weight | |Compass and construction paper – optional|

| |including converting units |Meter sticks (yardsticks) and measuring tapes | |

| |(Mod 5: S2 and 5 - Exp 1 and Mod 7: S3 – Exp 1). | |Die |

|4.2.6 D.3 | |Mod 5: Labsheets 1A (optional), 1B | |

|4.2.6 D.5 | | |Calculators |

| | |Platform Scale and objects to weigh ( ................
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