8th Grade Math Instructional Focus Units
2015/2016
5/21/15
Course Description – Linear Algebra
In Linear Algebra, Grade 8 instructional focuses will be on:
(1) formulating and reasoning about expressions and equations, including modeling an association in bivariate data with a linear equation,
and solving linear equations and systems of linear equations;
(2) grasping the concept of a function and using functions to describe quantitative relationships;
(3) using ideas about distance and angles, how they behave under translations, rotations, reflections, and dilations, and ideas about
congruence and similarity to describe and analyze two-dimensional figures and to solve problems; and
(4) understand the statement of the Pythagorean Theorem and its converse and apply the Pythagorean Theorem to find distances between
points on the coordinate plane, to find lengths, and to analyze polygons.
Year-At-A-Glance
Focus Unit
Chapter(s)
1
2
3
1, 2, 3, 4
5, 6, 7, 8, 9, 10
11, 12, 13
4
14
Main Idea
Estimated
Timeline (days)
Algebraic Thinking
Pythagorean Theorem and Transformational Geometry
Linear Systems & Properties of Exponents
45
61
36
Volume
10
5
15, 16, 17
Data Analysis
28
Your feedback on the maps, timeline, and resource is greatly appreciated so changes and supplemental resources (if necessary) can be identified
and added to future maps.
Year - Long Scope Sequence
Common Core RP Progressions – Use for explanations of standards sequencing, pointing out cognitive difficulties and pedagogical solutions, and
providing further detail of mathematical content.
1
**This document is a living document and changes and updates will occur throughout the year.
8th Grade Math Instructional Focus Units
2015/2016
5/21/15
Focus 1: Linear Equations and Functions -This unit focuses on algebraic thinking. Students extend their understanding of equation solving to
include equations with variables on both sides and equations involving rational numbers. Students are introduced to functions and relations.
Students analyze equations, tables, and graphs of linear functions, specifically the interpretation of slope and y-intercept.
Learning Goal and Scale:
Assessment Bank:
Pre-requisite standards/skills:
Big Ideas:
Essential Questions:
Principal Resource
Principal Resource
Principal Resource
Principal Resource
Carnegie Course 3 Chapter 1 –
Linear Equations
Carnegie Course 3 Chapter 2Linear Functions
Carnegie Course 3 Chapter 3 –
Analyzing Linear Equations
Standards
Standards
Standards
Carnegie Course 3 Chapter 4 –
Multiple Representations of Linear
Functions
Standards
Estimated
Time
8.EE.B.5
Estimated
Time
8.EE.C.7a
8.EE.C.7b
9 days
2
8.F.A.1
8.F.A.2
8.F.A.3
8.F.B.4
8.F.B.5
Estimated
Time
15 days
8.EE.B.5
8.F.A.1
8.F.A.2
8.F.A.3
8.F.B.4
8.F.B.5
Estimated
Time
10 days
**This document is a living document and changes and updates will occur throughout the year.
8.EE.C.7b
8.F.A.1
8.F.A.2
8.F.A.3
8.F.B.4
8.F.B.5
11 days
8th Grade Math Instructional Focus Units
2015/2016
5/21/15
Routines:
Instructional Notes:
Feedback:
3
**This document is a living document and changes and updates will occur throughout the year.
8th Grade Math Instructional Focus Units
2015/2016
5/21/15
Focus 2: Geometry- In this unit students apply and extend their understanding of numbers and their properties to include real numbers.
Students solve a variety of problems using the Pythagorean Theorem. Students develop an understanding of congruence as a preservation of size
and shape and an understanding of similarity as a preservation of shape. Students explore the necessary conditions for triangle similarity and
congruence. Students explore angles formed by lines cut by a transversal.
Learning Goal and Scale:
Assessment Bank:
Pre-requisite skills/standards:
Big Ideas:
Essential Questions:
Principal Resource
Principal Resource
Principal Resource
Carnegie Course 3 Chapter 5- The Real
Number System
Carnegie Course 3 Chapter 6- Pythagorean
Theorem
Carnegie Course 3 Chapter 7- Translations,
Reflections and Rotations
Standards
Estimated Time
Standards
Estimated Time
Standards
Estimated Time
7.NS.A.3
7 days
8.NS.A.
8.EE.A.2
8.G.B.6
8.G.B.7
8.G.B.8
14 days
8.G.A.1.a
8.G.A.1.b
8.G.A.2
8.G.A.3
10 days
8.NS.A.1
8.NS.A.2
8.EE.A.2
4
**This document is a living document and changes and updates will occur throughout the year.
8th Grade Math Instructional Focus Units
2015/2016
5/21/15
Principal Resource
Principal Resource
Principal Resource
Carnegie Course 3 Chapter 8- Congruence of
Triangles
Carnegie Course 3 Chapter 9- Similarity
Carnegie Course 3 Chapter 10- Line and Angle
Relationships
Standards
Estimated Time
Standards
Estimated Time
Standards
Estimated Time
8.G.A.1.a
8.G.A.1.b
8.G.A.2
8.G.A.3
8.G.B.8
10 days
8.G.A.3
8.G.A.4
8 days
7.G.B.5
12 days
**Section 9.3 and 9.4 go beyond 8th grade
standards, please use professional judgement.
8.G.A.1.c
8.G.A.5
8.F.B.3
Routines:
Instructional Notes:
Feedback:
5
**This document is a living document and changes and updates will occur throughout the year.
8th Grade Math Instructional Focus Units
2015/2016
5/21/15
Focus 3: Algebraic Thinking – Students analyze and solve systems of linear equations algebraically and graphically. Students derive properties
of exponents including the use of exponents with scientific notation.
Learning Goal and Scale:
Assessment Bank:
Pre-requisite skills/standards:
Big Ideas:
Essential Questions:
Principal Resource
Principal Resource
Principal Resource
Carnegie Course 3 Chapter 11- Systems of
Equations
Carnegie Course 3 Chapter 12- More with
Systems of Equations
Carnegie Course 3 Chapter 13- Properties of
Exponents
Standards
Estimated Time
Standards
Estimated Time
Standards
Estimated Time
8.EE.C.8.a
8.EE.C.8.b
8.EE.C.8.c
8.EE.C.8.d
10 days
8.EE.C.7.b
8.EE.C.8.b
8.EE.C.8.c
8.EE.C.8.d
12 days
8.EE.A.1
8.EE.A.2
8.EE.A.3
8.EE.A.4
14 days
Routines:
Notes:
Feedback:
6
**This document is a living document and changes and updates will occur throughout the year.
8th Grade Math Instructional Focus Units
2015/2016
5/21/15
Focus 4: Geometry- Students develop formulas for the volumes of cones, cylinders, and spheres.
Learning Goal and Scale:
Assessment Bank:
Pre-requisite skills/standards:
Big Ideas:
Essential Questions:
Principal Resource
Carnegie Course 3 Chapter 14- Volume
Standards
Estimated Time
8.G.C.9
10 days
Routines:
7
**This document is a living document and changes and updates will occur throughout the year.
8th Grade Math Instructional Focus Units
2015/2016
5/21/15
Instructional Notes:
Feedback:
8
**This document is a living document and changes and updates will occur throughout the year.
8th Grade Math Instructional Focus Units
2015/2016
5/21/15
Focus 5: Statistical Thinking and Probability- Students are introduced to bivariate data through the use of tables and scatter plots. Students
determine a line of best fit for data set and use that line to make predictions.
Learning Goal and Scale:
Assessment Bank:
Pre-requisite skills/standards:
Big Ideas:
Essential Questions:
Principal Resource
Principal Resource
Principal Resource
Carnegie Course 3 Chapter 15- Data Display
and Analysis
Carnegie Course 3 Chapter 16- Lines of Best
Fit
Carnegie Course 3 Chapter 17- Non-linear
Data Representations
Standards
Estimated Time
Standards
Estimated Time
Standards
Estimated Time
8.SP.A.1
8 days
8.SP.A.1
8.SP.A.2
8.SP.A.3
12 days
8.SP.A.1
8.SP.A.4
8 days
Routines:
9
**This document is a living document and changes and updates will occur throughout the year.
8th Grade Math Instructional Focus Units
2015/2016
5/21/15
Instructional Notes:
Feedback:
10
**This document is a living document and changes and updates will occur throughout the year.