Core Curriculum Content Standards

4.1.7 A: Number Sense

4.1.7 A.1: Extend understanding of the number system by constructing meanings for the following (unless otherwise noted, all indicators for grade 7 pertain to these sets of numbers as well):

4.1.7 A.1.a: Rational numbers

Rational Numbers, Opposites, and Absolute Values

4.1.7 A.1.b: Percents

Percent of Change

Percents, Fractions, and Decimals

4.1.7 A.3: Understand and use ratios, proportions, and percents (including percents greater than 100 and less than 1) in a variety of situations.

Beam to Moon (Ratios and Proportions)

Direct and Inverse Variation

Estimating Population Size

Independent and Dependent Events

Part-to-part and Part-to-whole Ratios

Percent of Change

Percents and Proportions

Percents, Fractions, and Decimals

Proportions and Common Multipliers

4.1.7 A.4: Compare and order numbers of all named types.

Comparing and Ordering Decimals

Fraction Garden (Comparing Fractions)

Fractions Greater than One (Fraction Tiles)

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

4.1.7 A.5: Use whole numbers, fractions, decimals, and percents to represent equivalent forms of the same number.

Part-to-part and Part-to-whole Ratios

Percents, Fractions, and Decimals

4.1.7 B: Numerical Operations

4.1.7 B.1: Use and explain procedures for performing calculations with integers and all number types named above with:

4.1.7 B.1.a: Pencil-and-paper

Fraction Garden (Comparing Fractions)

Multiplying with Decimals

Percents, Fractions, and Decimals

Sums and Differences with Decimals

Toy Factory (Set Models of Fractions)

4.1.7 B.1.b: Mental math

Estimating Sums and Differences

Percents, Fractions, and Decimals

Sums and Differences with Decimals

4.1.7 B.1.c: Calculator

Fraction Garden (Comparing Fractions)

Multiplying with Decimals

Percents, Fractions, and Decimals

Sums and Differences with Decimals

Toy Factory (Set Models of Fractions)

4.1.7 B.3: Understand and apply the standard algebraic order of operations, including appropriate use of parentheses.

4.1.7 C: Estimation

4.1.7 C.1: Use equivalent representations of numbers such as fractions, decimals, and percents to facilitate estimation.

Estimating Sums and Differences

4.2.7 A: Geometric Properties

4.2.7 A.1: Understand and apply properties of polygons.

4.2.7 A.1.a: Quadrilaterals, including squares, rectangles, parallelograms, trapezoids, rhombi

Classifying Quadrilaterals

Perimeter and Area of Rectangles

Special Parallelograms

4.2.7 A.2: Understand and apply the concept of similarity.

4.2.7 A.2.a: Using proportions to find missing measures

Beam to Moon (Ratios and Proportions)

Proportions and Common Multipliers

4.2.7 B: Transforming Shapes

4.2.7 B.1: Understand and apply transformations.

4.2.7 B.1.a: Finding the image, given the pre-image, and vice-versa

Dilations

Reflections

Rock Art (Transformations)

4.2.7 B.1.b: Sequence of transformations needed to map one figure onto another

Dilations

Reflections

Rock Art (Transformations)

4.2.7 B.1.c: Reflections, rotations, and translations result in images congruent to the pre-image

Dilations

Reflections

Rock Art (Transformations)

Rotations, Reflections, and Translations

4.2.7 B.1.d: Dilations (stretching/shrinking) result in images similar to the pre-image

4.2.7 C: Coordinate Geometry

4.2.7 C.1: Use coordinates in four quadrants to represent geometric concepts.

City Tour (Coordinates)

Function Machines 2 (Functions, Tables, and Graphs)

Linear Functions

Points in the Coordinate Plane

Points, Lines, and Equations

Slope

4.2.7 C.2: Use a coordinate grid to model and quantify transformations (e.g., translate right 4 units).

Dilations

Rotations, Reflections, and Translations

4.2.7 D: Units of Measurement

4.2.7 D.1: Solve problems requiring calculations that involve different units of measurement within a measurement system (e.g., 4'3" plus 7'10" equals 12'1").

4.2.7 E: Measuring Geometric Objects

4.2.7 E.1: Develop and apply strategies for finding perimeter and area.

4.2.7 E.1.a: Geometric figures made by combining triangles, rectangles and circles or parts of circles

Area of Parallelograms

Area of Triangles

Polygon Angle Sum

4.2.7 E.1.b: Estimation of area using grids of various sizes

Fido's Flower Bed (Perimeter and Area)

4.2.7 E.2: Recognize that the volume of a pyramid or cone is one-third of the volume of the prism or cylinder with the same base and height (e.g., use rice to compare volumes of figures with same base and height).

4.3.7 A: Patterns

4.3.7 A.1: Recognize, describe, extend, and create patterns involving whole numbers, rational numbers, and integers.

4.3.7 A.1.a: Descriptions using tables, verbal and symbolic rules, graphs, simple equations or expressions

Arithmetic Sequences

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Geometric Sequences

4.3.7 B: Functions and Relationships

4.3.7 B.1: Graph functions, and understand and describe their general behavior.

4.3.7 B.1.a: Equations involving two variables

Absolute Value with Linear Functions

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Point-Slope Form of a Line

Slope-Intercept Form of a Line

Standard Form of a Line

4.3.7 C: Modeling

4.3.7 C.1: Analyze functional relationships to explain how a change in one quantity can result in a change in another, using pictures, graphs, charts, and equations.

Translating and Scaling Functions

4.3.7 C.2: Use patterns, relations, symbolic algebra, and linear functions to model situations.

4.3.7 C.2.a: Using manipulatives, tables, graphs, verbal rules, algebraic expressions/equations/inequalities

Compound Interest

Multiplying with Decimals

Solving Equations on the Number Line

Using Algebraic Equations

Using Algebraic Expressions

4.3.7 C.2.b: Growth situations, such as population growth and compound interest, using recursive (e.g., NOW-NEXT) formulas (cf. science standard 5.5 and social studies standard 6.6)

Arithmetic Sequences

Compound Interest

Geometric Sequences

4.3.7 D: Procedures

4.3.7 D.1: Use graphing techniques on a number line.

4.3.7 D.1.a: Absolute value

Absolute Value Equations and Inequalities

Compound Inequalities

Rational Numbers, Opposites, and Absolute Values

4.3.7 D.2: Solve simple linear equations informally and graphically.

4.3.7 D.2.a: Multi-step, integer coefficients only (although answers may not be integers)

Point-Slope Form of a Line

Solving Algebraic Equations II

Solving Equations by Graphing Each Side

Solving Two-Step Equations

Standard Form of a Line

4.3.7 D.2.b: Using paper-and-pencil, calculators, graphing calculators, spreadsheets, and other technology

Solving Equations by Graphing Each Side

Solving Two-Step Equations

4.3.7 D.3: Create, evaluate, and simplify algebraic expressions involving variables.

4.3.7 D.3.a: Order of operations, including appropriate use of parentheses

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Order of Operations

Simplifying Algebraic Expressions I

Simplifying Algebraic Expressions II

4.3.7 D.3.b: Substitution of a number for a variable

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

4.3.7 D.4: Understand and apply the properties of operations, numbers, equations, and inequalities.

4.3.7 D.4.a: Additive inverse

Adding and Subtracting Integers

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

Simplifying Algebraic Expressions I

Solving Algebraic Equations I

4.3.7 D.4.b: Multiplicative inverse

4.4.7 A: Data Analysis

4.4.7 A.1: Select and use appropriate representations for sets of data, and measures of central tendency (mean, median, and mode).

4.4.7 A.1.a: Type of display most appropriate for given data

Box-and-Whisker Plots

Describing Data Using Statistics

Graphing Skills

Mean, Median, and Mode

Movie Reviewer (Mean and Median)

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Stem-and-Leaf Plots

4.4.7 A.1.b: Box-and-whisker plot, upper quartile, lower quartile

4.4.7 A.1.c: Scatter plot

4.4.7 A.2: Make inferences and formulate and evaluate arguments based on displays and analysis of data.

Box-and-Whisker Plots

Graphing Skills

Polling: City

Real-Time Histogram

4.4.7 B: Probability

4.4.7 B.1: Interpret probabilities as ratios, percents, and decimals.

Estimating Population Size

Independent and Dependent Events

4.4.7 B.3: Estimate probabilities and make predictions based on experimental and theoretical probabilities.

Independent and Dependent Events

4.4.7 B.4: Play and analyze probability-based games, and discuss the concepts of fairness and expected value.

Probability Simulations

Theoretical and Experimental Probability

4.4.7 C: Discrete Mathematics-Systematic Listing and Counting

4.4.7 C.1: Apply the multiplication principle of counting.

4.4.7 C.1.a: Permutations: ordered situations with replacement (e.g., number of possible license plates) vs. ordered situations without replacement (e.g., number of possible slates of 3 class officers from a 23 student class)

Correlation last revised: 5/18/2018