Math Standards
Numbers, Number Sense, & Computation
Facts
1.7.1
Read, write, and compute ratios and proportions; read, write, add, subtract, multiply, and divide positive and negative numbers.
1.7.1a
Identify rational and irrational numbers and simplify exponential notation.
Application
1.7.2
Apply positive & negative numbers, ratios, proportions, & percent, to solve mathematical and practical problems.
Word Problems and Number Theory
1.7.3
Define and use absolute value and the properties of real numbers, including distributive, commutative, & associative to solve problems.
Comparison and Ordering 1.7.6
Compare & order groups containing a mix of fractions, percents, & decimals (e.g., on a number line).
Estimation and Rounding 1.7.7
Select and round to the appropriate significant digit; estimate using a variety of methods.
Fractions
1.7.9
Translate among fractions, decimals, and percents.
Patterns, Functions, & Algebra
Patterns
2.7.1
Use and create coordinate graphs (i.e., linear, geometric, and exponential) to represent and/or interpret patterns and relationships, with and without calculators.
Relationships
2.7.2
Identify, model, describe, & evaluate relationships using coordinate grids & graphs, with & without technology; construct tables, charts, & graphs using data & available resources.
Variables
2.7.3
Evaluate formulas and algebraic expressions for given values of a variable (e.g., A = lw: given that l = 6, w = 2, then A = 12).
2.7.3a
Represent expressions such as "twice the number" or "four more than the number" using variables.
Number Sentences and Equations
2.7.4
Represent mathematical situations using algebraic language and symbols.
Algebraic Basics
2.7.5
Combine like terms using variable expressions (e.g., 2a+3a=5a).
Linear Equations
2.7.6
Model, identify, & solve linear equations & inequalities using concrete & informal methods; relate this process to the order operations.
Equation Solutions
2.7.7
Generate and graph a set of ordered pairs to solve a linear equation.
Comparison and Ordering 3.7.1.
Estimate and convert units of measure for mass and volume within the same measurement system; compare corresponding units of the two systems.
Measurement
3.7.2
Given a measurement, determine the greatest possible error.
Estimation
3.7.3
Estimate, measure to the required degree of accuracy, derive, and apply standard formulas to find the volume and surface area of solid figures (e.g., cylinders, triangular solids); apply geometric models to solve problems from our physical world.
Proportion and Ratio
3.7.5
Write, solve, and apply proportions; solve real life problems using ratio, proportion & percent.
Time
3.7.6
Use elapsed time to solve practical problems (e.g., develop schedules, plan trips).
Spatial Relationships & Geometry
Two -Dimensional Shapes 4.7.1
Identify, describe by properties, classify, compare, and draw regular and irregular polygons; find the sum of the interior angles; define, describe and measure attributes of geometric shapes.
Congruence, Similarity, and Transformations
4.7.2
Use ratio and proportions to create scale drawings.
Coordinate Geometry and Line of symmetry
4.7.3
Use coordinate geometry & models to demonstrate geometric transformations, including rotate/turn, translate/
slide, & reflect/flip by finding the ordered pairs that describe the location of the original and the transformed figures.
Two & Three Dimensional Figures
4.7.4
Solve real-life problem situations by mak(ing) a model of a three-dimensional figure from a two-dimensional drawing and make a two-dimensional drawing of a three-dimensional object.
Lines, Slopes, and Linear Equations
4.7.5
Use coordinate geometry to represent slope, midpoint, and horizontal and vertical distance.
Lines, Angles, and Geometric Figures
4.7.6
Describe the properties of geometric relationships, including parallel lines, perpendicular lines, bisectors, triangles, and quadrilaterals (e.g., properties of angles formed by a transversal of parallel lines).
Pythagorean Theorem
4.7.7
Model the Pythagorean Theorem; solve for the hypotenuse using the theorem.
Draw and Construct
4.7.8
Construct and verify congruent angles, and parallel and perpendicular lines using hand tools.
Data Collection & Organization
5.7.1
Organize, display, read, and analyze data, with and without technology, using a variety of displays, including frequency distributions and circle graphs, tables and charts.
Central Tendency
5.7.4
Select, use, and graph (when possible) measures of variability, including range, distribution, and possible outliers.
Design
5.7.6
Given a set of data, interpolate and extrapolate to make and explain predictions.
7th Grade Process Standards
6.1
Select, modify, develop, and apply strategies to solve a variety of mathematical and practical problems and to investigate and understand mathematical concepts.
6.2
Apply previous experience and knowledge to new problem-solving situations.
6.5
Verify, interpret, and evaluate results with respect to the original problem,
determining an efficient strategy for the given situation.
6.6
Try more than one strategy when the first strategy proves to be unproductive.
6.7
Apply multi-step, integrated, mathematical problem-solving strategies, persisting until a solution is found or until it is clear that no solution exists.
6.9
Generalize solutions and strategies from earlier problems to new problems.
6.10
Interpret and solve a variety of mathematical problems by paraphrasing, identifying necessary and extraneous information, selecting and justifying efficient methods and/or strategies, and ensuring that the answer is reasonable.
6.13
Use technology, including calculators, and/or computers, to solve problems and verify solutions.
6.14
Use technology, including calculators, and/or computers, to investigate, define, and describe quantitative relationships such as patterns and functions.
Mathematical Communication
7.1
Discuss and exchange ideas about mathematics as part of learning.
7.2
Use inquiry techniques (e.g., discussion, questioning, research, data gathering, reading, writing and active listening) to solve and develop understanding of mathematical problems.
7.3
Read expository text to learn about mathematics.
7.6
Interpret and solve word problems without the necessity of key words or phrases.
7.9
Model and explain mathematical relationships using manipulatives, oral, written, pictorial, graphical, and algebraic methods.
7.10
Evaluate the effectiveness of written and oral presentations of mathematics.
7.11
Make conjectures and present arguments in discussions of mathematical ideas.
7.13
Explain and evaluate thinking about mathematical ideas and solutions; discuss the validity of simple arguments.
7.15
Use everyday language to explain thinking about strategies and solutions to mathematical problems.
7.16
Express mathematical ideas and use them to define, compare, and solve problems orally and in writing.
7.17
Use mathematical notation to communicate and explain mathematical situations.
Mathematical Reasoning
8.2
Justify answers and the steps taken to solve problems, with and without manipulatives and physical models.
8.4
Use patterns and relationships to analyze mathematical situations; draw logical conclusions about mathematical problems.
8.5
Follow a logical argument and judge its validity.
8.7
Recognize and apply deductive and inductive reasoning in both concrete and abstract contexts.
8.8
Ask questions to reflect on, clarify, and extend thinking.
8.9
Review and refine the assumptions and steps used to derive conclusions in mathematical arguments.
8.11
Determine relevant, irrelevant, and/or sufficient information to solve mathematical problems, including consumer problems.
Mathematical Connections
9.1
Link new concepts to prior knowledge.
9.2
Use mathematical ideas from one area of mathematics to explain an idea from another area of mathematics.
9.3
Use models to explain the relationship of concepts to procedures as they apply to problems in real life.
9.4
Use the connections among mathematical topics
to develop multiple approaches to problems.
9.6
Use and analyze the connections between mathematics and other disciplines.
9.7
Apply mathematical thinking and modeling to solve problems that arise in other disciplines (e.g., rhythm in music and motion in science).
9.8
Identify, explain, and use mathematics in everyday life.
9.9
Recall and accurately record numerical, alphabetical, symbolic and factual sequential data transmitted either verbally or in writing.