Grade Level Expectations

M(N&O).10.2: Demonstrates understanding of the relative magnitude of real numbers by solving problems involving ordering or comparing rational numbers, common irrational numbers (e.g., "square root" of 2, pi), rational bases with integer exponents, square roots, absolute values, integers, or numbers represented in scientific notation using number lines or equality and inequality symbols.

Comparing and Ordering Decimals

Rational Numbers, Opposites, and Absolute Values

Unit Conversions

Unit Conversions 2 - Scientific Notation and Significant Digits

M(N&O).10.4: Accurately solves problems that involve but are not limited to proportional relationships, percents, ratios, and rates. (The problems might be drawn from contexts outside of and within mathematics including those that cut across content strands or disciplines.)

Beam to Moon (Ratios and Proportions)

Direct and Inverse Variation

Estimating Population Size

Geometric Probability

Household Energy Usage

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

Percent of Change

Real-Time Histogram

M(N&O).10.6: Uses a variety of mental computation strategies to solve problems. Calculates benchmark perfect squares and related square roots (e.g., 1², 2² , ..., 12², 15², 20², 25², 100², 1000²). Determines any whole number percentage of a number or any multiples of 100% up to 500%. Determines benchmark fractions of a number.

M(N&O).10.7: Makes appropriate estimates in a given situation by determining the level of accuracy needed and analyzing the accuracy of results. Estimates tips, discounts, and tax and estimates the value of a non-perfect square root or cube root.

M(G&M).10.4: Applies the concepts of congruency by solving problems on or off a coordinate plane involving reflections, translations, or rotations; or solves problems using congruency involving problems within mathematics or across disciplines or contexts.

Dilations

Holiday Snowflake Designer

M(G&M).10.6: Solves problems involving perimeter, circumference, or area of two-dimensional figures (including composite figures) or surface area or volume of three-dimensional figures (including composite figures) within mathematics or across disciplines or contexts.

Area of Triangles

Surface and Lateral Areas of Prisms and Cylinders

M(G&M).10.7: Uses units of measure appropriately and consistently when solving problems across content strands; makes conversions within or across systems and makes decisions concerning an appropriate degree of accuracy in problem situations involving measurement in other GSEs.

M(G&M).10.9: Solves problems on and off the coordinate plane involving distance, midpoint, perpendicular and parallel lines, or slope.

Constructing Congruent Segments and Angles

Parallel, Intersecting, and Skew Lines

Slope

Slope-Intercept Form of a Line

M(G&M).10.10: Demonstrates conceptual understanding of spatial reasoning and visualization by sketching or using dynamic geometric software to generate three-dimensional objects from two-dimensional perspectives, or to generate two-dimensional perspectives from three-dimensional objects, or by solving related problems.

Surface and Lateral Areas of Prisms and Cylinders

M(F&A).10.1: Identifies, extends, and generalizes a variety of patterns (linear and nonlinear) represented by models, tables, sequences, or graphs to solve problems.

Arithmetic and Geometric Sequences

M(F&A).10.2: Demonstrates conceptual understanding of linear and nonlinear functions and relations (including characteristics of classes of functions) through an analysis of constant, variable, or average rates of change, intercepts, domain, range, maximum and minimum values, increasing and decreasing intervals and rates of change (e.g., the height is increasing at a decreasing rate); describes how change in the value of one variable relates to change in the value of a second variable; or works between and among different representations of functions and relations (e.g., graphs, tables, equations, function notation).

Absolute Value with Linear Functions

Exponential Functions

General Form of a Rational Function

Graphs of Polynomial Functions

Introduction to Functions

Linear Functions

Logarithmic Functions

Radical Functions

Translating and Scaling Functions

M(F&A).10.3: Demonstrates conceptual understanding of algebraic expressions by solving problems involving algebraic expressions, by simplifying expressions (e.g., simplifying polynomial or rational expressions, or expressions involving integer exponents, square roots, or absolute values), by evaluating expressions, or by translating problem situations into algebraic expressions.

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

Simplifying Algebraic Expressions II

Simplifying Radical Expressions

M(F&A).10.4: Demonstrates conceptual understanding of equality by solving problems involving algebraic reasoning about equality; by translating problem situations into equations; by solving linear equations (symbolically and graphically) and expressing the solution set symbolically or graphically, or provides the meaning of the graphical interpretations of solution(s) in problem-solving situations; or by solving problems involving systems of linear equations in a context (using equations or graphs) or using models or representations.

Absolute Value Equations and Inequalities

Absolute Value with Linear Functions

Cat and Mouse (Modeling with Linear Systems)

Circles

Linear Functions

Linear Inequalities in Two Variables

Modeling One-Step Equations

Modeling and Solving Two-Step Equations

Parabolas

Point-Slope Form of a Line

Points, Lines, and Equations

Quadratics in Polynomial Form

Quadratics in Vertex Form

Radical Functions

Solving Algebraic Equations II

Solving Equations by Graphing Each Side

Solving Equations on the Number Line

Solving Linear Systems (Matrices and Special Solutions)

Solving Linear Systems (Slope-Intercept Form)

Solving Linear Systems (Standard Form)

Solving Two-Step Equations

Square Roots

Standard Form of a Line

Using Algebraic Equations

Using Algebraic Expressions

M(DSP).10.1: Interprets a given representation (e.g., box-and-whisker plots, scatter plots, bar graphs, line graphs, circle graphs, histograms, frequency charts) to make observations, to answer questions, to analyze the data to formulate or justify conclusions, critique conclusions, make predictions, or to solve problems within mathematics or across disciplines or contexts (e.g. media, workplace, social and environmental situations).

Box-and-Whisker Plots

Correlation

Histograms

Least-Squares Best Fit Lines

Polling: City

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

Sight vs. Sound Reactions

Solving Using Trend Lines

Trends in Scatter Plots

M(DSP).10.2: Analyzes patterns, trends, or distributions in data in a variety of contexts by determining, using, or analyzing measures of central tendency (mean, median, or mode), dispersion (range or variation), outliers, quartile values, estimated line of best fit, regression line, or correlation (strong positive, strong negative, or no correlation) to solve problems; and solve problems involving conceptual understanding of the sample from which the statistics were developed.

Describing Data Using Statistics

Least-Squares Best Fit Lines

Polling: City

Populations and Samples

M(DSP).10.3: Identifies or describes representations or elements of representations that best display a given set of data or situation, consistent with the representations required in M(DSP)-10-1.

Reaction Time 1 (Graphs and Statistics)

M(DSP).10.4: Uses counting techniques to solve contextualized problems involving combinations or permutations (e.g., organized lists, tables, tree diagrams, models, Fundamental Counting Principle, or others).

Binomial Probabilities

Permutations and Combinations

M(DSP).10.5: Solves problems involving experimental or theoretical probability.

Binomial Probabilities

Geometric Probability

Independent and Dependent Events

Theoretical and Experimental Probability

M(DSP).10.6: In response to a teacher or student generated question or hypothesis decides the most effective method (e.g., survey, observation, research, experimentation) and sampling techniques (e.g., random sample, stratified random sample) to collect the data necessary to answer the question; collects, organizes, and appropriately displays the data; analyzes the data to draw conclusions about the questions or hypotheses being tested while considering the limitations of the data that could effect interpretations; and when appropriate makes predications, asks new questions, or makes connections to real-world situations.

Box-and-Whisker Plots

Correlation

Describing Data Using Statistics

Geometric Probability

Polling: City

Real-Time Histogram

Stem-and-Leaf Plots

Correlation last revised: 5/23/2018