21st Century Mathematics

M.O.7.1: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will demonstrate understanding of numbers, ways of representing numbers, and relationships among numbers and number systems, demonstrate meanings of operations and how they relate to one another, and compute fluently and make reasonable estimates.

M.O.7.1.1: compare, order, and differentiate among integers, decimals, fractions, and irrational numbers using multiple representations (e.g., symbols, manipulatives, graphing on a number line).

Comparing and Ordering Decimals

Fraction Garden (Comparing Fractions)

Integers, Opposites, and Absolute Values

Rational Numbers, Opposites, and Absolute Values

M.O.7.1.2: model the relationship between perfect squares and square roots using physical representations; estimate square root and evaluate using technology.

M.O.7.1.3: using simple computation and problem-solving situations, demonstrate fluency and justify solutions in performing operations with rational numbers including negative numbers for

M.O.7.1.3.a: adding

Adding Fractions (Fraction Tiles)

Adding and Subtracting Integers

Adding on the Number Line

Addition of Polynomials

Estimating Sums and Differences

Fractions Greater than One (Fraction Tiles)

Improper Fractions and Mixed Numbers

Sums and Differences with Decimals

M.O.7.1.3.b: subtracting

Adding Fractions (Fraction Tiles)

Adding and Subtracting Integers

Adding on the Number Line

Addition of Polynomials

Estimating Sums and Differences

Sums and Differences with Decimals

M.O.7.1.3.c: multiplying

Adding and Subtracting Integers

Multiplying Fractions

Multiplying Mixed Numbers

Multiplying with Decimals

M.O.7.1.3.d: dividing

Dividing Fractions

Dividing Mixed Numbers

M.O.7.1.4: justify the use of the commutative, associative, distributive, identity and inverse properties to simplify numeric expressions.

M.O.7.1.5: analyze and solve grade-appropriate real-world problems with whole numbers, integers, decimals, fractions and percents including problems involving discounts, interest, taxes, tips, percent increase or decrease, and justify solutions including using estimation and reasonableness.

Compound Interest

Multiplying with Decimals

Percent of Change

Percents and Proportions

Percents, Fractions, and Decimals

Proportions and Common Multipliers

Real-Time Histogram

Sums and Differences with Decimals

M.O.7.2: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will demonstrate understanding of patterns, relations and functions, represent and analyze mathematical situations and structures using algebraic symbols, use mathematical models to represent and understand quantitative relationships, and analyze change in various contents.

M.O.7.2.2: evaluate algebraic expressions with whole numbers, integers, absolute value and exponents using the order of operations.

Equivalent Algebraic Expressions I

Equivalent Algebraic Expressions II

Order of Operations

M.O.7.2.4: analyze proportional relationships in real-world situations, select an appropriate method to determine the solution and justify reasoning for choice of method to solve.

Beam to Moon (Ratios and Proportions)

Direct and Inverse Variation

Estimating Population Size

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

M.O.7.2.5: solve one-step linear equations and inequalities using a variety of strategies containing rational numbers with integer solutions; graph solutions, and justify the selection of the strategy and the reasonableness of the solution.

Solving Linear Inequalities in One Variable

M.O.7.2.7: determine the slope of a line from its graphical representation.

Cat and Mouse (Modeling with Linear Systems)

Elevator Operator (Line Graphs)

Point-Slope Form of a Line

Slope

Slope-Intercept Form of a Line

Standard Form of a Line

M.O.7.3: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will: analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships, specify locations and describe spatial relationships using coordinate geometry and other representational systems, apply transformations and use symmetry to analyze mathematical situations, and solve problems using visualization, spatial reasoning, and geometric modeling.

M.O.7.3.1: identify and construct

M.O.7.3.1.b: congruent segments and angles

Classifying Quadrilaterals

Classifying Triangles

Constructing Congruent Segments and Angles

Constructing Parallel and Perpendicular Lines

Special Parallelograms

M.O.7.3.1.c: perpendicular bisectors of segments

Constructing Parallel and Perpendicular Lines

Segment and Angle Bisectors

M.O.7.3.1.d: angle-bisectors

Concurrent Lines, Medians, and Altitudes

Constructing Parallel and Perpendicular Lines

Segment and Angle Bisectors

Special Parallelograms

M.O.7.3.3: apply rotations, reflections, translations to plane figures and determine the coordinates of its transformation and compare and contrast the new figure with the original.

Dilations

Rock Art (Transformations)

Rotations, Reflections, and Translations

M.O.7.3.4: pose and solve ratio and proportion problems including scale drawings and similar polygons.

Beam to Moon (Ratios and Proportions)

Direct and Inverse Variation

Estimating Population Size

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

Proportions and Common Multipliers

Road Trip (Problem Solving)

Similar Figures

M.O.7.4: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will: demonstrate understanding of measurable attributes of objects and the units, systems, and processes of measurements, and apply appropriate techniques, tools and formulas to determine measurements.

M.O.7.4.2: use the Pythagorean Theorem to find the length of any side of a right triangle and apply to problem solving situations.

Pythagorean Theorem

Pythagorean Theorem with a Geoboard

M.O.7.4.3: convert units of measurement, linear, area and volume, within customary and metric systems.

M.O.7.5: Through communication, representation, reasoning and proof, problem solving, and making connections within and beyond the field of mathematics, students will: formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them, select and use appropriate statistical methods to analyze data, develop and evaluate inferences and predictions that are based on models, and apply and demonstrate an understanding of basic concepts of probability

M.O.7.5.1: determine theoretical probability of an event, make and test predictions through experimentation.

Independent and Dependent Events

Probability Simulations

Spin the Big Wheel! (Probability)

Theoretical and Experimental Probability

M.O.7.5.2: determine combinations and permutations by constructing sample spaces (e.g., listing, tree diagrams, frequency distribution tables).

M.O.7.5.3: collect, organize, graphically represent, and interpret data displays including frequency distributions, line-plots, scatter plots, box and whiskers, and multiple-line graphs.

Box-and-Whisker Plots

Correlation

Describing Data Using Statistics

Distance-Time Graphs

Elevator Operator (Line Graphs)

Graphing Skills

Mean, Median, and Mode

Polling: City

Populations and Samples

Prairie Ecosystem

Reaction Time 2 (Graphs and Statistics)

Solving Using Trend Lines

Stem-and-Leaf Plots

Trends in Scatter Plots

M.O.7.5.4: analyze and solve application problems involving measures of central tendency (mean, median, mode) and dispersion (range) from data, graphs, tables, and experiments using appropriate technology to compare two sets of data.

Describing Data Using Statistics

Movie Reviewer (Mean and Median)

Polling: City

Populations and Samples

Reaction Time 2 (Graphs and Statistics)

Real-Time Histogram

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.