Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Standard 2 - Briar Cliff University
Document related concepts
Transcript
Mathematics Curriculum Diocese of Sioux City Grade 7 Standard 2 Standard 2: Understands and applies concepts of algebra and functions. Benchmark 1: Represents, analyzes, and generalizes patterns Critical Objectives: 7.2.1.1. Recognizes patterns and relationships as linear or non-linear (ITBS)* 7.2.1.2. Understands numerical relationships and patterns can be linear and non-linear 7.2.1.3. Identifies patterns as linear or non-linear 7.2.1.4. Recognizes operations used in a pattern (ITBS) 7.2.1.5. Identifies and uses patterns to solve mathematical problems Diocese of Sioux City -1- Vocabulary Patterns Linear Non-linear 2006 Mathematics Curriculum Diocese of Sioux City Grade 7 Standard 2 Standard 2: Understands and applies concepts of algebra and functions. Benchmark 2: Identifies functions as linear or non-linear Vocabulary Critical Objectives: 7.2.2.1. Describes the characteristics of linear Function Dependent variable 7.2.2.2. Understands function means that the value of one variable is Independent variable dependent on the other variable Linear relationship 7.2.2.3. Knows the dependent variable is usually expressed as y and the independent variable as x, but can differ 7.2.2.4. Understands the x- and y-intercepts are where the function crosses the x and y axes 7.2.2.5. Understands the x- and y-intercepts give information about the function 7.2.2.6. Identifies an equation and understands the purpose of the variable 7.2.2.7. Recognizes patterns that are linear relationships 7.2.2.8. Represents linear relationships using tables, graphs, words, and symbolic expressions 7.2.2.9. Finds a rule for completing a table of ordered pairs 7.2.2.10. Identifies points on a coordinate plane Diocese of Sioux City -2- 2006 Mathematics Curriculum Diocese of Sioux City Grade 7 Standard 2 Standard 2: Understands and applies concepts of algebra and functions. Benchmark 3: Uses expressions and symbols to represent mathematical Vocabulary relationships Critical Objectives: Like term Variable 7.2.3.1. Recognizes equivalent forms of simple algebraic expressions Expression (ITBS)* Equation 7.2.3.2. Knows mathematical expressions can be written in different Term formats Coefficient 7.2.3.3. Understands like terms can be variables and numbers Equality Inequality 7.2.3.4. Writes mathematical expressions in a variety of formats (ITBS) Constant 7.2.3.5. Uses variables and appropriate operations to write expressions (ITBS)** 7.2.3.6. Knows the definition of algebraic terminology 7.2.3.7. Uses algebraic symbols correctly in a variety of problem situations (ITBS) 7.2.3.8. Writes mathematical expressions using variables and operations (ITBS) 7.2.3.9. Identifies operational symbol(s) that completes a solution (ITBS) 7.2.3.10. Uses rules to simplify expressions (ITBS)* 7.2.3.11. Recognizes like terms 7.2.3.12. Knows rules to simplify expressions 7.2.3.13. Combines like terms to simplify expressions (ITBS) Diocese of Sioux City -3- 2006 Mathematics Curriculum Diocese of Sioux City Grade 7 Standard 2 Standard 2: Understands and applies concepts of algebra and functions. Vocabulary Benchmark 4: Uses models to represent mathematical situations Critical Objectives: Like terms 7.2.4.1. Uses order of operations, including grouping symbols, to solve Order of operations problems (ITBS)* Grouping 7.2.4.2. Recognizes like terms Two-step problems Inverse operations 7.2.4.3. Knows rules to simplify expressions 7.2.4.4. Knows the order of operations 7.2.4.5. Uses order of operations, including grouping symbols, to solve problems (ITBS) 7.2.4.6. Solves equations and inequalities involving algebraic expressions (ITBS)** 7.2.4.7. Knows the inverse relationship between addition and subtraction and multiplication and division 7.2.4.8. Solves two-step problems (ITBS) 7.2.4.9. Solves equations by substitution (ITBS) 7.2.4.10. Solves inequalities (ITBS) Diocese of Sioux City -4- 2006 Mathematics Curriculum Diocese of Sioux City Grade 7 Standard 2 Standard 2: Understands and applies concepts of algebra and functions. Benchmark 5: Analyzes change in a variety of situations Vocabulary Critical Objectives: Linear relationship 7.2.5.1. Uses line graphs to represent a constant rate of change Slope 7.2.5.2. Knows the definition of slope Change 7.2.5.3. Understands how the slope represents the rate of change 7.2.5.4. Describes linear relationships using x-intercept, y-intercept, and slope Diocese of Sioux City -5- 2006
