B: Number Operations and Relationships

B.a: Concepts

B.a.1: Recognize and apply place-value concepts to numbers less than 100,000,000 with decimals to the thousandths place.

 Sums and Differences with Decimals

B.a.2: Read, write and represent numbers using words, numerals, number lines, arrays, and expanded form (12.09=10+2+.09) and symbolic renaming (12.09= 13-.91).

 Chocomatic (Multiplication, Arrays, and Area)
 Number Systems

B.a.3: Compare and order a set of fractions or decimals (to the hundredths place) and use symbols (<, >, =, "not equal to").

 Adding Fractions (Fraction Tiles)
 Comparing and Ordering Decimals
 Rational Numbers, Opposites, and Absolute Values

B.a.4: Identify and use number theory concepts:

B.a.4.a: prime and composite numbers

 Chocomatic (Multiplication, Arrays, and Area)
 Finding Factors with Area Models

B.a.5: Demonstrate understanding of fractions and percents with and without contexts (e.g.,sales tax and discounts, 40 is 25 percent of what number?; What number is 25 percent of 160?)

 Estimating Sums and Differences
 Percent of Change
 Percents and Proportions
 Percents, Fractions, and Decimals
 Proportions and Common Multipliers
 Real-Time Histogram
 Time Estimation

B.a.6: Apply proportional reasoning to a variety of problem situations. (E.g. comparisons, rates, and similarities).

 Beam to Moon (Ratios and Proportions)
 Direct and Inverse Variation
 Estimating Population Size
 Geometric Probability
 Part-to-part and Part-to-whole Ratios
 Percents and Proportions
 Proportions and Common Multipliers

B.a.7: Identify equivalent forms of fractions, decimals and percents.

 Fractions with Unlike Denominators
 Improper Fractions and Mixed Numbers
 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals

B.b: Computation

B.b.1: Use all operations in everyday situations to solve single or multi-step word problems.

 Estimating Population Size

B.b.2: Solve problems involving percents with and without context.

B.b.2.a: Add and subtract decimals including thousandths with and without text.

 Sums and Differences with Decimals

B.b.2.b: Multiply decimals and integers (-100 to 100) including thousandths with and without context. (Ex. interest rates)

 Adding and Subtracting Integers
 Multiplying with Decimals

B.b.3: Demonstrate understanding of the concept of division of fractions in a contextual setting.

 Dividing Mixed Numbers

B.b.4: Add and subtract mixed numbers and fractions with unlike denominators, multiply mixed numbers.

 Adding Fractions (Fraction Tiles)
 Estimating Sums and Differences
 Fractions with Unlike Denominators
 Improper Fractions and Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers

B.b.5: Estimate the sum, difference and product of whole numbers, common fractions, mixed numbers and decimals to thousandths.

 Estimating Sums and Differences
 Improper Fractions and Mixed Numbers
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Sums and Differences with Decimals

B.b.6: Determine reasonableness of answers.

 Estimating Sums and Differences

C: Geometry

C.a: Describing Figures

C.a.1: Name 3-dimensional figures (e.g., rectangular prisms, square pyramids, cones, cylinders and spheres.)

 Pyramids and Cones

C.a.2: Find the measure of the third angle of a triangle when given the measures of two interior or exterior angles.

 Triangle Angle Sum

C.a.3: Determine the sum of the angles of a polygon using diagonals drawn from one vertex.

 Polygon Angle Sum
 Triangle Angle Sum

C.a.4: Determine the measure of an angle in a drawing of an adjacent and supplementary or adjacent and complementary pair of angles when given the measure of the other angle.

 Investigating Angle Theorems
 Triangle Angle Sum

C.b: Spatial Relationships and Transformations

C.b.1: Draw and/or describe a similar figure when given a polygon drawn on graph paper with vertices at lattice points.

 Perimeters and Areas of Similar Figures
 Similar Figures
 Similarity in Right Triangles

C.b.3: Demonstrate understanding of similarity by finding the relationship between the sides of two figures.

 Perimeters and Areas of Similar Figures
 Similar Figures
 Similarity in Right Triangles

C.b.4: Draw or identify the image of a figure based on one or more transformations (reflection, rotation and/or translation).

 Dilations
 Reflections
 Rock Art (Transformations)
 Rotations, Reflections, and Translations
 Similar Figures
 Translations

C.c: Coordinate Systems

C.c.1: Identify, locate, plot coordinates in all four quadrants; draw or identify the reflection of a point across the x- or y-axis or the translation of a point at integer coordinates in any of the four quadrants.

 City Tour (Coordinates)
 Function Machines 2 (Functions, Tables, and Graphs)
 Linear Functions
 Points in the Coordinate Plane
 Points, Lines, and Equations
 Rotations, Reflections, and Translations
 Slope

C.c.2: Locate or plot coordinates in any of the four quadrants using a geometric figure (e.g., transformations).

 City Tour (Coordinates)
 Dilations
 Function Machines 2 (Functions, Tables, and Graphs)
 Linear Functions
 Points in the Coordinate Plane
 Points, Lines, and Equations
 Rotations, Reflections, and Translations
 Slope
 Translations

D: Measurement

D.a: Measurable Attributes

D.a.2: Convert units within a system e.g., feet to yards; ounces to pounds; inches to feet; pints to quarts.

 Unit Conversions

D.a.3: Approximate conversions of units between metric and U.S. customary systems using a model or in context (quart/liter; yard/meter).

 Unit Conversions

D.c: Indirect Measurement

D.c.1: Estimate area given a reference.

 Area of Triangles

D.c.2: Determine perimeter/circumference and area of polygons and circles with and without context.

 Area of Parallelograms
 Area of Triangles
 Chocomatic (Multiplication, Arrays, and Area)
 Circumference and Area of Circles
 Perimeter and Area of Rectangles
 Perimeters and Areas of Similar Figures
 Square Roots

D.c.3: Determine the distance between points using a scale.

 Points in the Coordinate Plane

D.c.4: Determine volume and surface area of cylinders, rectangular prisms and pyramids with base shapes of triangle, square, regular pentagon and regular hexagon in real-world context.

 Prisms and Cylinders
 Pyramids and Cones
 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

D.c.5: Draw similar figures in any shape using a scale factor (e.g., enlarge/shrink).

 Dilations
 Perimeters and Areas of Similar Figures
 Similar Figures

D.c.6: Use ratio and proportion in context.

 Beam to Moon (Ratios and Proportions)
 Direct and Inverse Variation
 Estimating Population Size
 Part-to-part and Part-to-whole Ratios
 Percents and Proportions
 Proportions and Common Multipliers

D.c.7: Use d = r*t formula in simple contexts.

 Cat and Mouse (Modeling with Linear Systems)
 Earthquakes 1 - Recording Station
 Road Trip (Problem Solving)

E: Statistics and Probability

E.a: Data Analysis and Statistics

E.a.1: Compare two sets of data to generate or confirm/deny hypotheses.

 Movie Reviewer (Mean and Median)

E.a.2: Extract, interpret and analyze data including multiple representations of the same data from tables, double back-to-back stem-and-leaf plots, double bar graphs, simple circle graphs, line plots, line graphs, charts and diagrams with and without context.

 Mean, Median, and Mode
 Reaction Time 1 (Graphs and Statistics)
 Stem-and-Leaf Plots

E.a.3: Create graph with one-variable data sets using back-to-back stem-and-leaf plots, double bar graphs, circle graphs, line plots and line graphs; discuss appropriateness of graph selected.

 Reaction Time 1 (Graphs and Statistics)
 Stem-and-Leaf Plots

E.a.4: Find mean, median (with odd or even number of data), mode and range of a set of data with and without context.

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)
 Populations and Samples
 Reaction Time 1 (Graphs and Statistics)
 Sight vs. Sound Reactions
 Stem-and-Leaf Plots

E.a.5: Evaluate sources of data in context and multiple representations of a given data set.

 Box-and-Whisker Plots
 Correlation
 Stem-and-Leaf Plots

E.b: Probability

E.b.1: Determine the likelihood of an event and probability based on one or two dependent or independent events.

 Independent and Dependent Events

E.b.2: Use probabilities to estimate outcomes and evaluate fair and unfair simple events.

 Independent and Dependent Events
 Probability Simulations
 Theoretical and Experimental Probability

E.b.3: Use data from simulations provided in charts/tables to solve and interpret probability problems.

 Geometric Probability
 Independent and Dependent Events
 Theoretical and Experimental Probability

E.b.5: Solve problems involving sample spaces or diagrams.

 Probability Simulations
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

E.b.6: Analyze outcomes based on an understanding of theoretical and experimental probability.

 Geometric Probability
 Independent and Dependent Events
 Probability Simulations
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

F: Algebraic Relationships

F.a: Patterns, Relations and Functions

F.a.1: Use two concurrent numeric patterns to describe and analyze functional relationships between two variables.

 Function Machines 1 (Functions and Tables)

F.a.2: Describe and analyze in words functional relationships in two concurrent numeric patterns using multiplication and exponents and describe the relationship in words.

 Function Machines 1 (Functions and Tables)

F.a.3: Extend an increasing or decreasing arithmetic or geometric pattern.

 Finding Patterns
 Function Machines 1 (Functions and Tables)

F.a.4: Describe and interpret linear patterns in tables and graphs.

 Geometric Sequences

F.a.5: Identify the rule to complete or extend a function table or any combination of the two using one or two operations (+, -, x, รท) and numbers (-100 through 100) in the function table..

 Function Machines 1 (Functions and Tables)

F.a.6: Describe real-world phenomena represented by a graph. Describe real-world phenomena that a given graph might represent.

 Quadratics in Polynomial Form

F.b: Expressions, Equations and Inequalities

F.b.2: Solve single-variable one- and two-step equations with whole number, whole number integer, or rational, coefficients with and without context.

 Solving Algebraic Equations II

F.b.3: Find values of expressions with one variable and up to two operations including basic operations and exponents.

 Solving Equations by Graphing Each Side
 Solving Equations on the Number Line

F.b.6: Create a corresponding algebraic expression when given an arithmetic operation/relationship expressed in words.

 Improper Fractions and Mixed Numbers
 Multiplying with Decimals
 Solving Equations on the Number Line
 Using Algebraic Equations
 Using Algebraic Expressions

F.b.7: Evaluate formulas with and without context by solving for a specified variable.

 Area of Triangles

F.c: Properties

F.c.1: Identify a pair of equivalent numerical or one-variable expressions when using commutative or associative properties with addition and multiplication.

 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II

F.c.2: Demonstrate understanding of up to four-step order of operations expression using parentheses, exponents and fraction symbol.

 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Order of Operations

F.c.3: Demonstrate understanding of distributive property without variables.

 Chocomatic (Multiplication, Arrays, and Area)
 Equivalent Algebraic Expressions II
 Solving Algebraic Equations II
 Square Roots

F.c.4: Solve order of operations problems with one variable to demonstrate understanding of commutativity and associativity.

 Order of Operations

Correlation last revised: 5/31/2018

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