Grade Level and Grade Span Expectations

M.N&O.6.1: Demonstrates conceptual understanding of rational numbers with respect to ratios (comparison of two whole numbers by division a/b, a : b, and a Ö b , where b is not equal to 0); and rates (e.g., a out of b, 25%) using models, explanations, or other representations.

Beam to Moon (Ratios and Proportions)

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

Percents and Proportions

M.N&O.6.2: Demonstrates understanding of the relative magnitude of numbers by ordering or comparing numbers with whole number bases and whole number exponents (e.g.,3_, 4_), integers, or rational numbers within and across number formats (fractions, decimals, or whole number percents from 1-100) using number lines or equality and inequality symbols.

Comparing and Ordering Decimals

Fraction Garden (Comparing Fractions)

Modeling Decimals (Area and Grid Models)

Modeling Fractions (Area Models)

Rational Numbers, Opposites, and Absolute Values

Treasure Hunter (Decimals on the Number Line)

M.N&O.6.3a: Demonstrates conceptual understanding of mathematical operations by adding and subtracting positive fractions and integers; and multiplying and dividing fractions and decimals.

Adding and Subtracting Integers

Adding on the Number Line

Addition of Polynomials

Dividing Fractions

Dividing Mixed Numbers

Estimating Sums and Differences

Fractions Greater than One (Fraction Tiles)

Fractions with Unlike Denominators

Improper Fractions and Mixed Numbers

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Square Roots

M.N&O.6.3b: Demonstrates conceptual understanding of mathematical operations by describing or illustrating the meaning of a power by representing the relationship between the base (whole number) and the exponent (whole number) (e.g.,3_, 4_); and the effect on the magnitude of a whole number when multiplying or dividing it by a whole number, decimal, or fraction.

Multiplying Decimals (Area Model)

M.N&O.6.4: Accurately solves problems involving single or multiple operations on fractions (proper, improper, and mixed), or decimals; and addition or subtraction of integers; percent of a whole; or problems involving greatest common factor or least common multiple.

Adding Decimals (Base-10 Blocks)

Adding Fractions (Fraction Tiles)

Adding on the Number Line

Addition of Polynomials

Dividing Fractions

Dividing Mixed Numbers

Estimating Sums and Differences

Fractions Greater than One (Fraction Tiles)

Fractions with Unlike Denominators

Improper Fractions and Mixed Numbers

Modeling Fractions (Area Models)

Multiplying Decimals (Area Model)

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

Percent of Change

Subtracting Decimals (Base-10 Blocks)

Sums and Differences with Decimals

M.N&O.6.7: Makes estimates in a given situation by identifying when estimation is appropriate, selecting the appropriate method of estimation, determining the level of accuracy needed given the situation, analyzing the effect of the estimation method on the accuracy of results, and evaluating the reasonableness of solutions appropriate to grade level GLEs across content strands.

Estimating Sums and Differences

Multiplying Decimals (Area Model)

M.N&O.6.8: Applies properties of numbers (odd, even, positive, negative, remainders, divisibility, and prime factorization) and field properties (commutative, associative, identity [including the multiplicative property of one, e.g., 1 = 2/2 and 2/2 _ _ = 6/8, so _ = 6/8], distributive, and additive inverses) to solve problems and to simplify computations.

Adding and Subtracting Integers

Chocomatic (Multiplication, Arrays, and Area)

Rational Numbers, Opposites, and Absolute Values

Square Roots

Using Algebraic Equations

M.G&M.6.1: Uses properties or attributes of angles (right, acute, or obtuse) or sides (number of congruent sides, parallelism, or perpendicularity) to identify, describe, classify, or distinguish among different types of triangles (right, acute, obtuse, equiangular, scalene, isosceles, or equilateral) or quadrilaterals (rectangles, squares, rhombi, trapezoids, or parallelograms).

M.G&M.6.4: Demonstrates conceptual understanding of congruency by predicting and describing the transformational steps (reflections, translations, and rotations) needed to show congruence (including the degree of rotation) and as the result of composing and decomposing two- and three-dimensional objects using models or explanations; and using line and rotational symmetry to demonstrate congruent parts within a shape.

Holiday Snowflake Designer

Quilting Bee (Symmetry)

Rock Art (Transformations)

Rotations, Reflections, and Translations

M.G&M.6.6: Demonstrates conceptual understanding of perimeter of polygons, the area of quadrilaterals or triangles, and the volume of rectangular prisms by using models, formulas, or by solving problems; and demonstrates understanding of the relationships of circle measures (radius to diameter and diameter to circumference) by solving related problems. Expresses all measures using appropriate units.

Area of Parallelograms

Area of Triangles

Balancing Blocks (Volume)

Circumference and Area of Circles

Fido's Flower Bed (Perimeter and Area)

Perimeter and Area of Rectangles

Prisms and Cylinders

M.G&M.6.7: Measures and uses units of measures appropriately and consistently, and makes conversions within systems when solving problems across the content strands.

M.F&A.6.1: Identifies and extends to specific cases a variety of patterns (linear and nonlinear) represented in models, tables, sequences, graphs, or in problem situations; or writes a rule in words or symbols for finding specific cases of a linear relationship; or writes a rule in words or symbols for finding specific cases of a nonlinear relationship; and writes an expression or equation using words or symbols to express the generalization of a linear relationship (e.g., twice the term number plus 1 or 2n + 1).

Function Machines 1 (Functions and Tables)

M.F&A.6.2: Demonstrates conceptual understanding of linear relationships (y = kx; y = mx + b) as a constant rate of change by constructing or interpreting graphs of real occurrences and describing the slope of linear relationships (faster, slower, greater, or smaller) in a variety of problem situations; and describes how change in the value of one variable relates to change in the value of a second variable in problem situations with constant rates of change.

Slope-Intercept Form of a Line

M.DSP.6.1: Interprets a given representation (circle graphs, line graphs, or stem-and-leaf plots) to answer questions related to the data, to analyze the data to formulate or justify conclusions, to make predictions, or to solve problems.

Elevator Operator (Line Graphs)

Graphing Skills

Prairie Ecosystem

Stem-and-Leaf Plots

M.DSP.6.2: Analyzes patterns, trends or distributions in data in a variety of contexts by determining or using measures of central tendency (mean, median, or mode) or dispersion (range) to analyze situations, or to solve problems.

Describing Data Using Statistics

Polling: City

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

M.DSP.6.3: Organizes and displays data using tables, line graphs, or stem-and-leaf plots to answer questions related to the data, to analyze the data to formulate or justify conclusions, to make predictions, or to solve problems.

Describing Data Using Statistics

Elevator Operator (Line Graphs)

Graphing Skills

Polling: City

Prairie Ecosystem

Reaction Time 2 (Graphs and Statistics)

Real-Time Histogram

Stem-and-Leaf Plots

M.DSP.6.4: Uses counting techniques to solve problems in context involving combinations or simple permutations using a variety of strategies (e.g., organized lists, tables, tree diagrams, models, Fundamental Counting Principle, or others).

M.DSP.6.5a: For a probability event in which the sample space may or may not contain equally likely outcomes, predicts the theoretical probability of an event and tests the prediction through experiments and simulations; and designs fair games.

Independent and Dependent Events

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

M.DSP.6.5b: For a probability event in which the sample space may or may not contain equally likely outcomes, determines the experimental or theoretical probability of an event in a problem-solving situation.

Geometric Probability

Independent and Dependent Events

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

M.DSP.6.6: In response to a teacher or student generated question or hypothesis decides the most effective method (e.g., survey, observation, experimentation) to collect the data (numerical or categorical) necessary to answer the question; collects, organizes, and appropriately displays the data; analyzes the data to draw conclusions about the question or hypothesis being tested, and when appropriate makes predictions; and asks new questions and makes connections to real world situations.

Graphing Skills

Movie Reviewer (Mean and Median)

Reaction Time 2 (Graphs and Statistics)

Stem-and-Leaf Plots

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.