Core Curriculum Content Standards

4.1.A: Number Sense

4.1.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.A.1.b: Percents

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

Percents and Proportions

4.1.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)

Compound Independent Events

Compound Independent and Dependent Events

Estimating Population Size

Geometric Probability - Activity A

Independent and Dependent Events

Part:Part and Part:Whole Ratios

Percents and Proportions

Polling: Neighborhood

Probability Simulations

Proportions and Common Multipliers

Similar Figures - Activity A

Theoretical and Experimental Probability

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

Comparing and Ordering Decimals

Comparing and Ordering Fractions

Comparing and Ordering Integers

Comparing and Ordering Rational Numbers

Ordering Percents, Fractions and Decimals

Ordering Percents, Fractions and Decimals Greater Than 1

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

Improper Fractions and Mixed Numbers

Percents, Fractions and Decimals

4.1.B: Numerical Operations

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

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

Adding and Subtracting Integers with Chips

Dividing Fractions

Dividing Mixed Numbers

Fractions with Unlike Denominators

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

4.1.B.1.b: Mental math

Adding and Subtracting Integers with Chips

Dividing Fractions

Dividing Mixed Numbers

Fractions with Unlike Denominators

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

4.1.B.1.c: Calculator

Adding and Subtracting Integers with Chips

Dividing Fractions

Dividing Mixed Numbers

Fractions with Unlike Denominators

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Sums and Differences with Decimals

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

4.1.C: Estimation

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

Percents, Fractions and Decimals

4.2.A: Geometric Properties

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

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

Area of Parallelograms - Activity A

Classifying Quadrilaterals - Activity A

Special Quadrilaterals

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

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

Beam to Moon (Ratios and Proportions)

Estimating Population Size

Polling: Neighborhood

Proportions and Common Multipliers

Similar Figures - Activity A

4.2.A.2.c: Models of 3D objects

3D and Orthographic Views - Activity A

Surface and Lateral Area of Prisms and Cylinders

Surface and Lateral Area of Pyramids and Cones

4.2.B: Transforming Shapes

4.2.B.1: Understand and apply transformations.

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

Dilations

Reflections

Rotations, Reflections and Translations

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

Dilations

Reflections

Rotations, Reflections and Translations

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

Reflections

Rotations, Reflections and Translations

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

4.2.C: Coordinate Geometry

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

Points in the Coordinate Plane - Activity A

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

Dilations

Parabolas - Activity A

Rotations, Reflections and Translations

4.2.D: Units of Measurement

4.2.D.2: Select and use appropriate units and tools to measure quantities to the degree of precision needed in a particular problem-solving situation.

4.2.E: Measuring Geometric Objects

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

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

Area of Parallelograms - Activity A

Rectangle: Perimeter and Area

4.2.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).

Prisms and Cylinders - Activity A

Pyramids and Cones - Activity A

4.3.A: Patterns

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

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

Arithmetic Sequences

Arithmetic and Geometric Sequences

Finding Patterns

Geometric Sequences

Introduction to Functions

Linear Functions

Using Algebraic Equations

Using Algebraic Expressions

Using Tables, Rules and Graphs

4.3.A.1.b: Finite and infinite sequences

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

4.3.A.1.c: Generating sequences by using calculators to repeatedly apply a formula

Arithmetic Sequences

Arithmetic and Geometric Sequences

4.3.B: Functions and Relationships

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

4.3.B.1.a: Equations involving two variables

Defining a Line with Two Points

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

4.3.C: Modeling

4.3.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.

Distance-Time Graphs

Distance-Time and Velocity-Time Graphs

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

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

4.3.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

Arithmetic and Geometric Sequences

Geometric Sequences

Simple and Compound Interest

4.3.D: Procedures

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

4.3.D.1.a: Absolute value

Comparing and Ordering Integers

Real Number Line - Activity A

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

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

Modeling and Solving Two-Step Equations

Solving Two-Step Equations

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

Modeling Linear Systems - Activity A

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

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

4.4.A: Data Analysis

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

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

Box-and-Whisker Plots

Describing Data Using Statistics

Histograms

Line Plots

Scatter Plots - Activity A

Stem-and-Leaf Plots

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

4.4.A.1.c: Scatter plot

Correlation

Scatter Plots - Activity A

Solving Using Trend Lines

4.4.B: Probability

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

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

4.4.B.2: Model situations involving probability with simulations (using spinners, dice, calculators and computers) and theoretical models.

4.4.B.2.a: Frequency, relative frequency

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

Compound Independent Events

Compound Independent and Dependent Events

Geometric Probability - Activity A

Independent and Dependent Events

Polling: City

Probability Simulations

Theoretical and Experimental Probability

4.4.C: Discrete Mathematics-Systematic Listing and Counting

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

4.4.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: 11/13/2008

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