M06.A-N: The Number System

M06.A-N.1: Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

M06.A-N.1.1: Solve real-world and mathematical problems involving division of fractions.

M06.A-N.1.1.1: Interpret and compute quotients of fractions (including mixed numbers), and solve word problems involving division of fractions by fractions.

 Dividing Fractions
 Dividing Mixed Numbers

M06.A-N.2: Compute with multi-digit numbers and find common factors and multiples.

M06.A-N.2.1: Compute with multi-digit numbers using the four arithmetic operations with or without a calculator.

M06.A-N.2.1.1: Solve problems involving operations (+, –, ×, and ÷) with whole numbers, decimals (through thousandths), straight computation, or word problems.

 Adding Whole Numbers and Decimals (Base-10 Blocks)
 Cargo Captain (Multi-digit Subtraction)
 Multiplying Decimals (Area Model)
 Multiplying with Decimals
 Square Roots
 Subtracting Whole Numbers and Decimals (Base-10 Blocks)
 Sums and Differences with Decimals

M06.A-N.3: Apply and extend previous understandings of numbers to the system of rational numbers.

M06.A-N.3.1: Understand that positive and negative numbers are used together to describe quantities having opposite directions or values and locations on the number line and coordinate plane.

M06.A-N.3.1.1: Represent quantities in real-world contexts using positive and negative numbers, explaining the meaning of 0 in each situation (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge).

 Adding on the Number Line
 Integers, Opposites, and Absolute Values
 Percent of Change

M06.A-N.3.1.2: Determine the opposite of a number and recognize that the opposite of the opposite of a number is the number itself (e.g., –(–3) = 3; 0 is its own opposite).

 Adding and Subtracting Integers
 Integers, Opposites, and Absolute Values
 Rational Numbers, Opposites, and Absolute Values
 Simplifying Algebraic Expressions I
 Solving Algebraic Equations I

M06.A-N.3.1.3: Locate and plot integers and other rational numbers on a horizontal or vertical number line; locate and plot pairs of integers and other rational numbers on a coordinate plane.

 Adding on the Number Line
 City Tour (Coordinates)
 Elevator Operator (Line Graphs)
 Fraction Garden (Comparing Fractions)
 Integers, Opposites, and Absolute Values
 Modeling Decimals (Area and Grid Models)
 Modeling Fractions (Area Models)
 Points in the Coordinate Plane
 Points, Lines, and Equations
 Rational Numbers, Opposites, and Absolute Values

M06.A-N.3.2: Understand ordering and absolute value of rational numbers.

M06.A-N.3.2.1: Write, interpret, and explain statements of order for rational numbers in real-world contexts.

 Estimating Population Size
 Integers, Opposites, and Absolute Values
 Modeling Decimals (Area and Grid Models)

M06.A-N.3.2.2: Interpret the absolute value of a rational number as its distance from 0 on the number line and as a magnitude for a positive or negative quantity in a real-world situation.

 Absolute Value with Linear Functions
 Integers, Opposites, and Absolute Values
 Rational Numbers, Opposites, and Absolute Values

M06.A-N.3.2.3: Solve real-world and mathematical problems by plotting points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.

 City Tour (Coordinates)
 Elevator Operator (Line Graphs)
 Points in the Coordinate Plane
 Points, Lines, and Equations
 Slope

M06.A-R: Ratios and Proportional Relationships

M06.A-R.1: Understand ratio concepts and use ratio reasoning to solve problems.

M06.A-R.1.1: Represent and/or solve real-world and mathematical problems using rates, ratios, and/or percents.

M06.A-R.1.1.1: Use ratio language and notation (such as 3 to 4, 3:4, 3/4) to describe a ratio relationship between two quantities.

 Beam to Moon (Ratios and Proportions)
 Part-to-part and Part-to-whole Ratios
 Proportions and Common Multipliers
 Road Trip (Problem Solving)

M06.A-R.1.1.2: Find the unit rate a/b associated with a ratio a:b (with b ? 0) and use rate language in the context of a ratio relationship.

 Beam to Moon (Ratios and Proportions)
 Household Energy Usage
 Road Trip (Problem Solving)

M06.A-R.1.1.3: Construct tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and/or plot the pairs of values on the coordinate plane. Use tables to compare ratios.

 Function Machines 2 (Functions, Tables, and Graphs)
 Points, Lines, and Equations
 Slope

M06.A-R.1.1.4: Solve unit rate problems including those involving unit pricing and constant speed.

 Household Energy Usage
 Road Trip (Problem Solving)

M06.A-R.1.1.5: Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percentage.

 Percent of Change
 Percents and Proportions
 Percents, Fractions, and Decimals
 Polling: Neighborhood
 Real-Time Histogram
 Time Estimation

M06.B-E: Expressions and Equations

M06.B-E.1: Apply and extend previous understandings of arithmetic to numerical and algebraic expressions.

M06.B-E.1.1: Identify, write, and evaluate numerical and algebraic expressions.

M06.B-E.1.1.1: Write and evaluate numerical expressions involving whole-number exponents.

 Order of Operations

M06.B-E.1.1.2: Write algebraic expressions from verbal descriptions.

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

M06.B-E.1.1.3: Identify parts of an expression using mathematical terms (e.g., sum, term, product, factor, quotient, coefficient, quantity).

 Compound Interest
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Using Algebraic Equations
 Using Algebraic Expressions

M06.B-E.1.1.5: Apply the properties of operations to generate equivalent expressions.

 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Solving Algebraic Equations II

M06.B-E.2: Interpret and solve one-variable equations and inequalities.

M06.B-E.2.1: Create, solve, and interpret one-variable equations or inequalities in real-world and mathematical problems.

M06.B-E.2.1.2: Write algebraic expressions to represent real-world or mathematical problems.

 Linear Inequalities in Two Variables
 Modeling One-Step Equations
 Solving Equations on the Number Line
 Using Algebraic Equations
 Using Algebraic Expressions

M06.B-E.2.1.3: Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q, and x are all non-negative rational numbers.

 Absolute Value Equations and Inequalities
 Solving Equations on the Number Line

M06.B-E.2.1.4: Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem and/or represent solutions of such inequalities on number lines.

 Absolute Value Equations and Inequalities
 Compound Inequalities
 Exploring Linear Inequalities in One Variable
 Linear Inequalities in Two Variables
 Solving Linear Inequalities in One Variable

M06.C-G: Geometry

M06.C-G.1: Solve real-world and mathematical problems involving area, surface area, and volume.

M06.C-G.1.1: Find area, surface area, and volume by applying formulas and using various strategies.

M06.C-G.1.1.1: Determine the area of triangles and special quadrilaterals (i.e., square, rectangle, parallelogram, rhombus, and trapezoid). Formulas will be provided.

 Area of Parallelograms
 Area of Triangles
 Chocomatic (Multiplication, Arrays, and Area)
 Perimeter and Area of Rectangles

M06.C-G.1.1.2: Determine the area of irregular or compound polygons.

 Area of Triangles
 Balancing Blocks (Volume)
 Fido's Flower Bed (Perimeter and Area)

M06.C-G.1.1.5: Represent three-dimensional figures using nets made of rectangles and triangles.

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

M06.C-G.1.1.6: Determine the surface area of triangular and rectangular prisms (including cubes). Formulas will be provided.

 Surface and Lateral Areas of Prisms and Cylinders

M06.D-S: Statistics and Probability

M06.D-S.1: Demonstrate understanding of statistical variability by summarizing and describing distributions.

M06.D-S.1.1: Display, analyze, and summarize numerical data sets in relation to their context.

M06.D-S.1.1.1: Display numerical data in plots on a number line, including line plots, histograms, and box-and-whisker plots.

 Box-and-Whisker Plots
 Histograms
 Mean, Median, and Mode
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)
 Real-Time Histogram
 Stem-and-Leaf Plots

M06.D-S.1.1.2: Determine quantitative measures of center (e.g., median, mean, mode) and variability (e.g., range, interquartile range, mean absolute deviation).

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)
 Polling: City
 Populations and Samples
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)
 Real-Time Histogram
 Sight vs. Sound Reactions
 Stem-and-Leaf Plots

M06.D-S.1.1.4: Relate the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)

Correlation last revised: 4/25/2018

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