4.1: All students will develop number sense and will perform standard numerical operations and estimations on all types of numbers in a variety of ways.

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.

 Order of Operations

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

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

 Dilations
 Similar Figures

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").

 Unit Conversions

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).

 Pyramids and Cones

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

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

 Solving Algebraic Equations I

4.4: All students will develop an understanding of the concepts and techniques of data analysis, probability, and discrete mathematics, and will use them to model situations, solve problems, and analyze and draw appropriate inferences from data.

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

 Box-and-Whisker Plots

4.4.7 A.1.c: Scatter plot

 Graphing Skills

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)

 Permutations and Combinations

Correlation last revised: 1/20/2017

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.