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Transcript
CURRICULUM
Pacing Guide: Sixth Grade, Instructional Block 5, Page A
Recommended Time Frame: 12 days
Start Date: Jan. 3
Estimated End Date: Jan. 19 Actual End Date:
INSTRUCTION
Expressions and Equations
EXPRESSIONS AND EQUATIONS
APPLY AND EXTEND PREVIOUS UNDERSTANDINGS OF
ARITHMETIC TO ALGEBRAIC EXPRESSIONS
1. Write and evaluate numerical expressions involving whole-number
exponents.
2. Write, read, and evaluate expressions in which letters stand for numbers.
2a. Write expressions that record operations with numbers and with letters
standing for numbers
2b. Identify parts of an expression using mathematical terms (sum term,
product, factor, quotient, coefficient); view one or more parts of an expression
as a single entity
2c. Evaluate expressions at specific values of their variables. Include
expressions that arise from formulas used in real-world problems. Perform
arithmetic operations, including those involving whole-number exponents, in
the conventional order where there are no parentheses to specify a particular
order (Order of Operations)
3. Apply the properties of operations to generate equivalent expressions.
4. Identify when two expressions are equivalent
MX Unit 5: Lessons 1-9
Big Idea(s): Writing, Interpreting and
Analyzing Expression; Equivalent
Expressions
During Instruction/Tier 2:
L1 Expressions and Order of Operations
Essential Tracker 5
L2 Expressions with Exponents
L3 Interpreting and Analyzing Expressions
MX Ongoing /Formative
Assessment Ideas within Teachers
Edition
L4 Modeling and Simplifying Expressions
L5 Expressions for Area and Surface Area
REASON ABOUT AND SOLVE ONE-VARIABLE EQUATIONS AND
INEQUALITIES
L6 Equivalent Expressions
6. Use variables to represent numbers and write expressions when solving realworld or mathematical problems; understand that a variable can represent an
unknown number, or, depending on the purpose at hand, any number in a
specified set.
L7 The Commutative and Associative
Properties
REPRESENT AND ANALYZE QUANTITATIVE RELATIONSHIPS
BETWEEN DEPENDENT AND INDEPENDENT VARIABLES
9. Use variables to represent two quantities in a real-world problem that change
in relationship to one another; write an equation to express one quantity,
thought of as the dependent variable, in terms of the other quantity, thought of
as the independent variable using graphs, tables, and relate these to the
equation.
ASSESSMENT
Before Instruction:
Instruction Growth Assessment 3
(Pre)
MX Unit 5 Test Form A
L8 The Distributive Property
L9 Practice with Expressions
Quick Quiz 1 (after Lesson 5)
Quick Quiz 2 (after Lesson 9)
Pacing Guide: Sixth Grade, Instructional Block 5, Page B
Recommended Time Frame: 12 days
Start Date: Jan. 20
Estimated End Date: Feb.3 Actual End Date:
CURRICULUM
INSTRUCTION
EXPRESSIONS AND EQUATIONS
MX Unit 5: Lessons 10-18
APPLY AND EXTEND PREVIOUS UNDERSTANDINGS OF
Big Ideas: Representing and
ARITHMETIC TO ALGEBRAIC EXPRESSIONS
Describing
Quantitative Relationships;
2. Write, read, and evaluate expressions in which letters stand for numbers.
Solving
Equations
and Inequalities
2a. Write expressions that record operations with numbers and with letters
standing for numbers
3. Apply the properties of operations to generate equivalent expressions.
REASON ABOUT AND SOLVE ONE-VARIABLE EQUATIONS AND
INEQUALITIES
5. Understand solving an equation or inequality as a process of answering a
question; which values from a specified set, if any, make the equation or
inequality true? Use substitution to determine whether a given number in a
specified set makes an equation or inequality true.
6. Use variables to represent numbers and write expressions when solving realworld or mathematical problems; understand that a variable can represent an
unknown number, or, depending on the purpose at hand, any number in a
specified set.
7. Solve real-world and mathematical problems by writing and solving
equations of the form x + p = q and px = q for cases in which p, q and x are all
nonnegative numbers.
8. Write an inequality of the form x > c or x < c to represent a constraint or
condition in a real-world or mathematical problem. Recognize that
inequalities of the form x > c or x < c have infinitely many solutions; represent
solutions of such inequalities on number line diagrams.
REPRESENT AND ANALYZE QUANTITATIVE RELATIONSHIPS
BETWEEN DEPENDENT AND INDEPENDENT VARIABLES
9. Use variables to represent two quantities in a real-world problem that
change in relationship to one another; write an equation to express one
quantity, thought of as the dependent variable, in terms of the other quantity,
thought of as the independent variable using graphs, tables, and relate these to
the equation.
ASSESSMENT
Quick Quiz 3 (after Lesson 13)
Quick Quiz 4 (after Lesson 17)
Performance Tasks
L10 Relating Two Quantities
L11 Motion at a Constant Speed
L12 Relating Equations, Tables and
Graphs
After Instruction:
MX Unit 5 Test (Form B)
L13 Writing Equations
L14 Inequalities
L15 Solutions of Equations and
Inequalities
L16 Addition and Subtraction Equations
L17 Multiplication and Division
Equations
L18 Focus on Mathematical Practices
Next Steps/Re-teaching/Data
Analysis (for student learning and
instructional reflection):