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Committed to Opportunity for All!

 Math

Ratio Proportion

Grade 7 

 

Content Standard

A. MATHEMATICAL PROCESSES - Students in Wisconsin will draw on a broad body of mathematical knowledge and apply a variety of mathematical skills and strategies, including reasoning, oral and written communication, and the use of appropriate technology, when solving mathematical, real-world and non-routine problems.
B. NUMBER OPERATIONS & RELATIONSHIPS Students in Wisconsin will use numbers effectively for various purposes, such as counting, measuring, estimating, and problem solving.
D. MEASUREMENT - Students in Wisconsin will select and use appropriate tools (including technology) and techniques to measure things to a specified degree of accuracy. They will use measurements in problem-solving situations.
F. ALGEBRAIC RELATIONSHIPS - Students in Wisconsin will discover, describe, and generalize simple and complex patterns and relationships.  In the context of real-world problem situations, the student will use algebraic techniques to define and describe the problem to determine and justify appropriate solutions.

 

Performance Standards
A.8.1 Use reasoning abilities to:

Evaluate information.
Perceive patterns.
Identify Relationships
Formulate questions for further exploration.
Evaluate strategies
Justify Statements.
Test reasonableness of results.
Defend work.

A.8.2 Communicate logical arguments clearly to show why a result makes sense.
A.8.3 Analyze non routine problems by modeling illustrating, guessing, simplifying, generalizing, shifting to another point of view, etc.
A.8.4 Develop effective oral and written presentations that include:

The conventions of mathematical discourse (e.g., symbols, definitions, labeled drawings).

Mathematical language.

Understanding of purpose and audience.

Clear organization of ideas and procedures.

A.8.5 Explain mathematical concepts, procedures, and ideas to others who may not be familiar with them.
A.8.6 Read and understand mathematical texts and other instructional materials and recognize mathematical ideas as they appear in other contexts
B.8.1 Read, represent, and interpret various rational numbers (whole numbers, integers, decimals, fractions, and percents) with verbal descriptions, geometric models, and mathematical notation (e.g., expanded, scientific, exponential).
B.8.2 Perform and explain operations on rational numbers (add, subtract, multiply, divide, raise to a power, take opposites and reciprocals).
 B.8.3 Generate and explain equivalences among fractions, decimals, and percents.
B.8.4 Express order relationships among rational numbers using appropriate symbols (>,<,,,).
B.8.5 Apply proportional thinking in a variety of problem situations that include, but are not limited to:

Percents, including those greater than 100 and less than one (e.g., discounts, rate of increase or decrease, sales tax)

B.8.6 Model and solve problems involving number-theory concepts such as:

Prime and composite numbers

Divisibility and remainders.

Greatest Common factors.

Least common multiples.

B.8.7 In problem-solving situations, select and use appropriate computational procedures with rational numbers such as:

Calculating mentally.

Estimating.

D.8.2 Demonstrate understanding of basic measurement facts, principles, and techniques including the following:

Approximate comparisons, between metric and US Customary units (e.g., a liter and a quart are about the same; a kilometer is about six-tenths of a mile).

Knowledge that direct measurement produces approximate, not exact, measures.

The use of smaller units to produce more precise measures.

D.8.4 Determine measurements indirectly using:

Ratio and proportion (e.g., similarity, scale drawings).

F.8.1

Work with algebraic expressions in a variety of ways, including:

Using appropriate symbolism, including exponents and variables.

Evaluating expressions through numerical substitution.

Generating equivalent expressions.

Adding & subtracting expressions.
F.8.2

Work with linear & nonlinear patters and relationships in a variety of ways, including:

Representing them with tables, with graphs, & with algebraic expressions, equations, & inequalities.         

F.8.5

Recognize and use generalized properties and relations including:

Additive and multiplicative property of equations and inequalities.

Commutatively and associatively of addition and multiplication.

Inverses and identities for addition and multiplication.
 

 

Unit Objectives
1. Writing ratios three different ways in simplest form
2. Understand the concept of a ratio and its similarity and difference to a fraction.
3. Writing equivalent ratios.
4. Using tables to express equivalent ratios.
5. Understand the difference between a ratio, rate and proportion.
6. Finding unit rates.
7. Convert between decimals, and fractions.
8. Testing proportionality.
9. W4iting proportions.
10. Solving proportions.
11. Scale drawings.
12. Apply ratio proportion to real world.
13. Using proportions to solve similarity.
 
  Slinger Middle School 
521 Olympic Drive
Slinger, WI 53086
262-644-5226
FAX: 262-644-7353
Hours: 7:30 a.m. - 2:38 p.m.
Office Hours: 7:00 - 4:00