Download 2014-2015 MATH Instructional Curriculum Plan Grade: 6

2014-2015 MATH Instructional Curriculum Plan
Grade: 6-8
Oct. 13 – Nov. 7
Feb. 2 – Feb. 13
April 6 – April 24
Unit 2: Equations
The Number System Standards
MAFS.6.NS.2.2 - Fluently divide multi-digit numbers using the standard algorithm.
MAFS.6.NS.3.6 – Understand a rational number as a point on the number line. Extend number line diagrams and
coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number
coordinates.
MAFS.6.NS.3.7 - Understand ordering and absolute value of rational numbers.
Weeks of:
The Number System Access Points
MAFS.6.NS.2.AP.2a Divide multi-digit whole numbers by a single-digit number.
MAFS.6.NS.2.AP.2b Divide multi-digit whole numbers by a two-digit number with the quotient
having no remainders.
MAFS.6.NS.3.AP.6a Find given points between -10 and 10 on both axes of a coordinate plane.
MAFS.6.NS.3.AP.6b Label points between -10 and 10 on both axes of a coordinate plane.
MAFS.6.NS.3.AP.6c Identify numbers as positive or negative. MAFS.6.NS.3.AP.6d Locate positive
and negative numbers on a number line. MAFS.6.NS.3.AP.6e Plot positive and negative numbers on
a number line.
MAFS.6.NS.3.AP.7a Compare two numbers on a number line (e.g., –2 > –9) between -30 and 30.
MAFS.6.NS.3.AP.7b Determine the meaning of absolute value using numbers from -30 to 30.
MAFS.7.NS.1.2 - Apply and extend previous understandings of multiplication and division and of fractions to multiply
and divide rational numbers.
MAFS.7.NS.1.AP.2a Solve single-digit rational number multiplication problems using a number
line.
MAFS.7.NS.1.AP.2b Solve division problems with quotients from -100 to 100 using a number line.
MAFS.7.NS.1.AP.2c Write equations to represent rational number multiplication and division
problems solved on a number line and generate rules for the products and quotients of rational
numbers.
MAFS.7.NS.1.3 - Solve real-world and mathematical problems involving the four operations with rational numbers.
MAFS.7.NS.1.AP.3a Solve real-world and mathematical problems involving the four operations
with rational numbers from -100 to 100.
MAFS.8.NS.1.2 - Use rational approximations of irrational numbers to compare the size of irrational numbers, locate
them approximately on a number line diagram, and estimate the value of expressions (e.g., π²).
MAFS.8.NS.1.AP.2a Locate approximations of irrational numbers on a number line.
Expressions and Equations Standards
Expressions and Equations Access Points
MAFS.6.EE.1.1 – Write and evaluate numerical expressions involving whole-number exponents.
MAFS.6.EE.1.AP.1a Solve numerical expressions involving whole-number bases and exponents
(e.g., 5 + 24 x 6 = 101)
MAFS.6.EE.1.AP.1b Identify what an exponent represents (e.g., 8³= 8 x 8 x 8).
MAFS.6.EE.1.2 - Write, read and evaluate expressions in which letters stand for numbers.
MAFS.6.EE.1.AP.2a Write or select an algebraic expression that represents a real-world situation.
MAFS.6.EE.1.3 - Apply the properties of operations to generate equivalent expressions.
MAFS.6.EE.1.AP.3a Use properties to produce equivalent expressions.
MAFS.6.EE.1.4 - Identify when two expressions are equivalent (i.e., when the two expressions name the same number,
regardless of which value is substituted into them).
MAFS.6.EE.1.AP.4a Evaluate whether sides of an equation are equal using models.
MAFS.6.EE.2.5 – 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
MAFS.6.EE.2.AP.5a Evaluate whether both sides of an equation are equal using models.
MAFS.6.EE.2.AP.5b Solve an equation using substitution.
MAFS.6.EE.2.AP.5c Solve an inequality using substitution (e.g., given a budget, a student will select
a number [specified set] to remain within budget).
2014-2015 MATH Instructional Curriculum Plan
Grade: 6-8
Unit 2: Equations
Weeks of:
Oct. 13 – Nov. 7
Feb. 2 – Feb. 13
April 6 – April 24
MAFS.6.EE.2.6 - Use variables to represent numbers and write expressions when solving a real-world or mathematical
problem; understand that a variable can represent an unknown number or, depending on the purpose at hand, any
number in a specified set.
MAFS.6.NS.2.AP.6a Use a variable to represent numbers and write expressions when solving realworld problems.
MAFS.6.EE.2.8 - 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.
MAFS.6.EE.2.AP.8a Write an inequality that represents a real-world situation.
MAFS.6.EE.3.9 - 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. Analyze the relationship between the dependent and independent variables
using graphs and tables, and relate these to the equation.
MAFS.6.EE.3.AP.9a Write an equation using variables to represent two quantities where one
variable represents the dependent variable and the second represents the independent variable.
MAFS.6.EE.3.AP.9b Write an expression that illustrates the relationship between two variables
from a provided table.
MAFS.7.EE.1.1 - Apply properties of operations as strategies to add, subtract, factor and expand linear expressions
with rational coefficients.
MAFS.7.EE.1.AP.1a Add and subtract linear expressions that include like terms. MAFS.7.EE.1.AP.1b
Factor and expand linear expressions.
MAFS.7.EE.1.2 - Understand that rewriting an expression in different forms in a problem context can shed light on the
problem and how the quantities in it are related.
MAFS.7.EE.1.AP.2a Combine like terms in an expression.
MAFS.7.EE.2.3 - Solve multi-step real-life and mathematical problems posed with positive and negative rational
numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations
to calculate with numbers in any form; convert between
forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.
MAFS.7.EE.2.AP.3a Solve real-world, multi-step problems using positive and negative rational
numbers (whole numbers, fractions and decimals).
MAFS.7.EE.2.4 - Use variables to represent quantities in a real-world or mathematical problem, and construct simple
equations and inequalities to solve problems by reasoning about the quantities.
MAFS.7.EE.2.AP.4a Set up equations with one variable based on real-world problems.
MAFS.7.EE.2.AP.4b Solve equations with one variable based on real-world problems.
MAFS.8.EE.1.1 - Know and apply the properties of integer exponents to generate equivalent numerical expressions.
MAFS.8.EE.1.AP.1a Use properties of integer exponents to produce equivalent expressions.
MAFS.8.EE.1.2 - Use square root and cube root symbols to represent solutions to equations of the form x² = p and x³ =
p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect
cubes. Know that √2 is irrational.
MAFS.8.NS.1.AP.2a Locate approximations of irrational numbers on a number line.
MAFS.8.EE.1.3 - Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large MAFS.8.EE.1.AP.3a Multiply single digits by the power of 10 using a calculator.
or very small quantities, and to express how many times as much one is than the other.
MAFS.8.EE.1.AP.3b Identify the products of powers of 10 (through 108).
MAFS.8.EE.1.4 - Perform operations with numbers expressed in scientific notation, including problems where both
decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements
of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation
that has been generated by technology.
MAFS.8.EE.1.AP.4a Perform operations with numbers expressed in scientific notation using a
calculator.
MAFS.8.EE.2.5 - Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two
different proportional relationships represented in different ways.
MAFS.8.EE.2.AP.5a Define rise/run (slope) for linear equations plotted on a coordinate plane.
MAFS.8.EE.3.7 - Solve linear equations in one variable.
MAFS.8.EE.3.AP.7a Simplify linear equations and solve for one variable.
2014-2015 MATH Instructional Curriculum Plan
Grade: 6-8
Oct. 13 – Nov. 7
Feb. 2 – Feb. 13
April 6 – April 24
Unit 2: Equations
Fractions Standards
MAFS.8.F.1.2 - Compare properties of two functions each represented in a different way (algebraically, graphically,
numerically in tables, or by verbal descriptions).
Weeks of:
Fractions Access Points
MAFS.8.F.1.AP.2a Compare the rise/run (m) of two simple linear functions.