Algebra 1 Priority Keys Aligned with Nevada Standards MA MA represents a Major content area. Any concept labeled MA is something of central importance to the entire class/curriculum; it is a foundation or cornerstone of the course. Mastery of MA concepts is required for a student to succeed in a course. I I represents Important content area. A little smaller than MA, I concepts must be Mastered but are not necessarily cornerstones of a course or required in order to succeed throughout the course. MI MI represents a Minor content area. Minor content areas are those that must be touched on briefly, introduced, but not thoroughly covered or mastered in order for students to achieve success in a course or completion of state and national standards. L Nevada Academic Standards that are assessable at the local level only. S Nevada Academic Standards that are assessable at the state and local levels. Interdisciplinary Links Key HI History LA Language Arts FL Foreign Language T Theology M Mathematics FA Fine Arts H Health/Physical Education TE Technology GV Government GE Geography SC Science WR Writing
Transcript
Algebra 1
Priority Keys Aligned with Nevada Standards MA MA represents a Major content area. Any concept labeled MA is something of central
importance to the entire class/curriculum; it is a foundation or cornerstone of the course. Mastery of MA concepts is required for a student to succeed in a course.
I I represents Important content area. A little smaller than MA, I concepts must be
Mastered but are not necessarily cornerstones of a course or required in order to succeed throughout the course.
MI MI represents a Minor content area. Minor content areas are those that must be
touched on briefly, introduced, but not thoroughly covered or mastered in order for students to achieve success in a course or completion of state and national standards.
L Nevada Academic Standards that are assessable at the local level only.
S Nevada Academic Standards that are assessable at the state and local levels.
Interdisciplinary Links Key
HI History LA Language Arts FL Foreign Language T Theology
M Mathematics FA Fine Arts H Health/Physical Education TE Technology
GV Government GE Geography SC Science WR Writing
Standards Keys
Nevada/National Standards NCTM Content Standards Key NCTM Process Standards Key
1 Numbers and Operations 6 Problem Solving 2 Algebra 7 Reasoning and Proof
3 Geometry 8 Communication
4 Measurement 9 Connections
5 Data Analysis 10 Representation
Common Core State Standard-ELA Link Key
Reading Standards for Literature RL Reading Standards for Literacy in History/Social Studies RH
Reading Standards for Informational Text RI Reading Standards for Literacy in Science/Technical RST
Writing Standards W Writing Standards for Literacy in Social Studies/Sci/Tech WHST
Speaking and Listening Standards SL Language Standards L
Assessment Key
Homework Homework will be assigned, reviewed and assessed every class.
Problems of the Week An assignment representing SAT/ACT or Proficiency style questions and spiraled review over previous or current areas of study. Assigned and assessed weekly.
Writing Across the Curriculum An essay style question requiring creative analytical written response; included with each
Problem of the Week assignment.
Formative Assessment Formative Assessment includes (but is not limited to): white board response questions, in-class practice worksheets, teacher/student group questioning, exit tickets and solving problems using manipulative resources.
Week Objective National/State
Standard Common Core ELA
Standard Assessment
1
Pre-Algebra Chapter 1
Sections 1.1
Simplify/reduce/build Fractions NCTM 1,6
1.6.2
RST.7 Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
Add/Subtract Fractions NCTM 1,6
1.6.7
Multiply/Divide Fractions NCTM 1,6,9
1.6.7
Make representations of fractions with bar & circle graphs
NCTM 1, 8,10 2.12.2
2
Chapter 1 Sections 1.2 - 1.5
Model relationships with variables, equations & formulas
Perform operations as well as distributive property & simplifying expressions which contain fraction
NCTM1,2,9,10 2.12.2
3
Chapter 1 Section 1.6-1.9
Multiply & divide real numbers NCTM1,2,8,9
1.12.8
RST.8, WST.9
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
Use the distributive property & simplify expressions
NCTM1,2,9,10 1.12.8
Use deductive reasoning & identify properties NCTM1,2,7,8,10
1.12.8
Graph points on a coordinate plane NCTM2, 10
2.7.4
Analyze data with scatter plots NCTM5,10
5.12.1
4
Chapter 1 Finish Section 1.9
Justify arguments using deductive & inductive reasoning
NCTM2,4,8 4.12.9
RST.8, WST.9
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
TOOLS of ALGEBRA COMMON ASSESSMENT
Using variables
Exponents and Order of Operations
Exploring Real Numbers
Adding & Subtracting Real Numbers
Multiplying & Dividing Real Numbers
Distributive Property
Properties of Real Numbers
Graphing Data on Coordinate Plane
Tools of Algebra Common Mastery Assessment:
All Algebra 1 classes will give the same Chapter 1 test to measure/compare/cooperate/share results for overall department evaluation and continuity. The test will be free-response and multiple choice over material from Chapter 1.
5
Chapter 2 Section 2.1 - 2.4
Solve one step equations using all four operations
NCTM2,3,6,7,10 2.12.2
RST.7
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
Solve two step equations using all four operations
NCTM2,7,8,10 2.12.2
Use the distributive property in solving 1 & 2 step equations
NCTM2,7,9,10 2.12.2
Use tiles to model the solution process of 1 & 2 step equations
NCTM2,10 2.12.2
Solve equations w/ variables on both sides NCTM2,3,6,7,8 2.12.2
Identify equations w/ identity or no solution NCTM2,3,6,7,8
2.12.2
Use tiles to model the solution process of 1 & 2 step equations, including equations w/ variables on both sides
Find missing elements : mean or range NCTM1,2,5,9,10
5.12.2
Use stem & leaf plots to represent data NCTM1,2,5,9,10
5.12.6
7
Box & Whisker Plots –problem
solving w/ reasoning
Construct and interpret box & whisker plots
NCTM1,2,5,9,10 5.12.6
RST.7, RST.8
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
Justify arguments using deduct. & induct. reasoning
NCTM2,4,8 4.12.9
7
Chapter 2
SOLVING EQUATIONS COMMON ASSESSMENT
Solving One-step Equations
Solving Two-step Equations
Solving Multi-step Equations
Equations with variables on both sides
Equations and Problem Solving
Formulas
Using Measures of Central Tendency
Functions, Equations, and Graphs Common Mastery Assessment:
All Algebra 1 classes will give the same Chapter 2 test to measure/compare/cooperate/share results for overall department evaluation and continuity. The test will be free-response and multiple choice over material from Chapter 2 as well as material from Chapter 1.
7 Chapter 3
Sections 3.1
Identify, graph & write solutions of inequalities NCTM1,2,9,10 2.8.5
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
8
Chapter 3 Sections 3.2 - 3.5
Solve 1 & 2 step inequalities using addition or subtraction
NCTM1,2,9,10 2.12.2
RST.4
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
Solve 1 & 2 step inequalities using multiplication
Formative Assessment Solve equations that involve absolute value NCTM1,2,6,9,10
2.12.4
10 Chapter 3 Finish 3.6
Solve and graph inequalities that involve absolute value
NCTM 1,2,6,9,10 2.12.4 Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
SEMESTER 1 MIDTERM Common Mastery Assessment:
All Algebra 1 classes will give the same Semester 1 Midterm test to measure/compare/cooperate/ share results for overall department evaluation and continuity. The test will be free-response and multiple choice over material from the weeks 1 - 9 of school.
SEMESTER 1 MIDTERM COMMON ASSESSMENT
Tools of Algebra (Ch 1)
Solving Equations(Ch 2)
Solving Inequalities (Ch 3) o Inequalities & their graphs o Solving Inequalities using
addition and subtraction o Solving Inequalities using
multiplication and division o Solving multi-step
inequalities o Compound inequalities o Absolute Value equations
SOLVING AND APPLYING PROPORTIONS COMMON ASSESSMENT
Ratio and Proportion
Proportions and Similar Figures
Proportions and Percent Equations
Percent of Change
Applying Ratios to Probability
Probability of Compound Events
Common Assessment:
All Algebra 1 classes will give the same Chapter 4 test to measure/compare/cooperate/share results for overall department evaluation and continuity. The test will be free-response and multiple choice over material from Chapter 4 as well as material from Chapters 1 through 3.
14
Interpreting data displays- reading Venn Diagrams
Interpret situation represented with line graph, scatter plot, box & whisker and stem & leaf plot.
NCTM1,2,5,8,10 5.12.6
RST.7
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
Interpret data on a Venn Diagram. NCTM1,2,5,7,8,10
5.12.6 RST.7
15
Chapter 5 Sections 5.3 & 5.6
Use rules, tables, & graphs to model functions NCTM2,7,8,10 2.12.6
RST.2
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
Write a rule given a table or practical situation NCTM2,6,8,9,10
2.12.6
Use ratios & proportions to solve direct
variations NCTM2,5,6,8,10
2.12.6
Write an equation of direct variation NCTM2,5,6,8,10 2.12.6
Use inductive reasoning to complete sequences NCTM2,5,6,7 2.12.6
16
Chapter 5 Section 5.6
Write rules for arithmetic sequences NCTM2,5,6,7
2.12.1
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
GRAPHS AND FUNCTIONS COMMON ASSESSMENT
Relating Graphs to Events
Relations and Functions
Function Rules, Tables and Graphs
Writing a Function Rule
Direct Variation
Describing Number Patterns
Common Assessment:
All Algebra 1 classes will give the same Chapter 5 test to measure/compare/cooperate/share results for overall department evaluation and continuity. The test will be free-response and multiple choice over material from Chapter 5 as well as material from Chapters 1 through 4.
17
Chapter 6 Section 6.1-6.2
Find rates of change from tables and graphs NCTM2,3,4,9,10
3.12.5
RST.7
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
Find slope given a graph or two points NCTM2,3,4,9,10 4.12.5
Write equations in slope-intercept form NCTM2,4,9,10 4.12.5
Graph linear equations NCTM2,4,9,10 4.12.5
Model linear equations using linguine and a white board
NCTM2,4,9,10 4.12.5
18
Chapter 6 Sections 6.3-6.5
Write equations in standard form NCTM2,6,8,9,10
4.12.5
RST.4
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
Graph equations using intercepts
NCTM2,6,8,9,10 4.12.5
Graph & write linear equations using point-slope
form. NCTM2,6,8,9,10
4.12.5
Write a linear equation using data NCTM2,6,8,9,10
4.12.5
Find the slope, slope intercept, standard &
point-slope form of a line given 2 points. NCTM2,3,6,8,10 4.12.5
Determine if lines are perpendicular
NCTM2,3,4,6,9,10 4.12.5
19
Chapter 6 Sections 6.5
Determine if lines are parallel
NCTM2,3,4,6,9,10 4.12.5
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
Model parallel and perpendicular equations using linguine and a white board
NCTM2,3,4,6,9,10 4.12.5
20
SEMESTER 1 FINAL COMMON ASSESSMENT
Tools of Algebra (Ch 1)
Solving Equations (Ch 2)
Solving Inequalities (Ch 3)
Solving and Applying Proportions(Ch 4)
Graphs and Functions (Ch 5)
Linear Equations and their Graphs(Ch 6)
SEMESTER 1 FINAL Common Mastery Assessment:
All Algebra 1 classes will give the same Semester 1 FINAL test to measure/compare/cooperate/share results for overall department evaluation and continuity. The test will be free-response and multiple choice over material from the weeks 1 -19 of school.
21
Chapter 7 Sections 7.1 - 7.3
Solve systems of linear equations by graphing NCTM2,8,10 2.12.5
RST.4
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
Analyze special types of systems NCTM2,8,10
2.12.5
Solve systems of linear equations using substitution
NCTM2,3,8,9,10 2.12.5
Solve systems of linear equations by elimination
(adding, subtracting or multiplying equations) NCTM1,2,8,9,10
2.12.5
Determine whether to solve a system by graphing, substitution, or elimination.
NCTM1,2,3,8,9 2.12.5
22
Chapter 7 Section 7.4
Write systems of linear equations for practical situations-coin problems & mixture problems
NCTM1,2,6,9,10 2.12.5
RST.2
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
SYSTEMS QUIZ: All Algebra 1 classes will
give the same Chapter 7 quiz over material from sections 7.1 – 7.3. The quiz will be free-response.
Write systems of linear equations for practical situations.— speed of current problems
NCTM 1,2,6,9,10 2.12.5
Write systems of linear equations for practical situations—break even problems
NCTM1,2,6,9,10 2.12.5
23
Chapter 7 Sections 7.4 -7.6
Write systems of linear equations for practical
situations NCTM1,2,4,9,10
2.12.5
RST.2, RST.4
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
SYSTEMS QUIZ: All Algebra 1 classes will
give the same Chapter 7 quiz over material from sections 7.4 – 7.6. The quiz will be free-response.
Graph linear inequalities NCTM1,2,6,9,10
2.12.4
Solve systems of linear inequalities by graphing. NCTM1,2,6,8,9 2.12.5
Model practical situations using systems of
linear inequalities NCTM1,2,6,7,8,9
4.12.9
24
Chapter 8
Sections 8.1-8.4
Simplify expressions with zero & negative
exponents NCTM2,4,8,10
2.12.3
RST.4
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
Evaluate exponential expressions NCTM2,4,8,10
2.12.3
Convert numbers from standard to scientific
notation. NCTM1,4,8,9,10
1.8.1
Multiply exponents NCTM1,4,8,9,10
2.12.3
Raise a product to a power NCTM1,2,4,6,10 2.12.3
Raise a power to a power NCTM1,2,4,6,10
2.12.3
Divide powers with the same base NCTM 1,2,4,6,10 2.12.3
25
Chapter 8 Section 8.5
Raise a quotient to a power NCTM1,2,4,6,10
2.12.3 Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment Common Mastery Assessment:
All Algebra 1 classes will give the same Chapter 8 test to measure/compare/cooperate/share results for overall department evaluation and continuity. The test will be free-response and multiple choice over material from Chapter 8, as well as Chapter 7.
EXPONENTS AND EXPONENTIAL FUNCTIONS COMMON ASSESSMENT
Zero And Negative exponents
Scientific Notation
Multiplication Properties of Exponents
More Multiplication Properties of Exponents
Division Properties of Exponents
26
Chapter 9 Sections 9.1 – 9.4
(multiplying polynomials only)
Name polynomials NCTM2,3,8,10
RST.4
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
Add & subtract polynomials NCTM2,3,8,10 2.12.3
Multiply a monomial by a polynomial NCTM2, 8,10 2.12.3
Multiply binomials using F.O.I.L. NCTM2,3,8,10 2.12.3
Multiply trinomials by binomials NCTM2,3,8,10 2.12.3
Find the square of a binomial NCTM2,7,8,9,10 2.12.3
Find the difference of squares. NCTM2,7,8,9,10 2.12.3
27
POLYNOMIALS COMMON ASSESSMENT
Adding and Subtracting Polynomials
Multiplying Monomials
Multiplying Binomials
Multiplying Special Cases
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
SYSTEMS QUIZ: All Algebra 1 classes will
give the same Chapter 9 quiz over material from sections 9.1 – 9.4. The quiz will be free-response.
All Algebra 1 classes will give the same Semester 2 Midterm test to measure/compare/cooperate/ share results for overall department evaluation and continuity. The test will be free-response and multiple choice over material from the weeks 21 - 28 of school.
29
Chapter 9 Section
9.2,9.8,9.6,9.5,9.7 (factoring
polynomials)
Factor a monomial from a polynomial NCTM2,8,10 2.12.3
RST.4
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
Factor polynomials with four terms NCTM2,3,6,8,10 2.12.3
Factor trinomials in the formAx2 + Bx + C, a≠ 1 NCTM2,6,8,10
2.12.3
Factor trinomials in the form Ax2 + Bx + C, a= 1 NCTM2,6,8,10
2.12.3
Factor perfect square trinomials and the difference of squares
NCTM2,6,8,10 2.12.3
30
Chapter 10 & 11 Sections 10.3 &
11.1
Memorize perfect squares 1-15, 20, 25, 30
And cubes 1-5 & 10 NCTM1,2,9,10
1.8.5
RST.4
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
FACTORING QUIZ: All Algebra 1 classes
will give the same Chapter 9 quiz over material from sections 9.2, 9.5 – 9.8 (Factoring Of polynomials only). . The quiz will be free-response.
Estimate square roots NCTM1,2,9,10 1.12.6
Use roots in practical solutions NCTM 1,2,9,10 1.12.6
Simplify sums and differences of radical terms NCTM 1,2,10 2.12.3
Simplify products of radical terms NCTM1,2,10 2.12.3
Simplify quotients of radical terms NCTM1,2,10 2.12.3
Match quadratic functions in the form
y= ax2 to the appropriate graph
NCTM2,,8,9,10 2.12.4
32
Chapter 10 Section 10.1,10.2,
10.5, 10.7
Match quadratic functions in the form
y= ax2+ bx to the appropriate graph
NCTM2,8,9,10 2.12.4
RST.2, RST.7
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
ROOTS & RADICALS QUIZ: All Algebra 1
classes will give the same quiz over material from sections 10.3, 11.1 & 11.4 . The quiz will be free-response.
Match quadratic functions in the form
y= ax2+ bx+c to the appropriate graph
NCTM2,8,9,10 2.12.4
Graph quadratic functions in the form
y = ax2+bx+ c; y = ax
2 ; y= ax
2 + c
NCTM2,8,9,10 2.12.4
Find the solution(s) of quadratic equations by
graphing or by using square roots NCTM1,2,3,9,10
2.12.4
Find the solution(s) of quadratic equations by
factoring NCTM1,2,3,9,10
2.12.3
Choose an appropriate method to find the
solutions of a quadratic equation NCTM1,2,3,9,10
4.12.9
Find the solution(s) of quadratic equations by
using the quadratic formula NCTM1,2,3,7,9
2.12.3
33
Chapter 11 Section 11.2 &
11.3
Find missing dimensions of a right triangle using the Pythagorean Theorem
NCTM2,3,4,10 4.12.7
RST.2
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
QUADRATICS QUIZ: All Algebra 1 classes
will give the same quiz over material from sections 10.1, 10.2, 10.5, &10.7. The quiz
will be free-response.
Identify right triangles using the converse of the
Pythagorean Theorem NCTM2,3,4,10
4.12.7
Use the distance formula to find the distance
between two points on a coordinate grid. NCTM2,3,4,10
3.12.3
34
Chapter 11 &12 Sections 11.3,
11.5, 12.8, &12.9
Use the midpoint formula to find the midpoint of a specific line segment.
NCTM 2,3,4,10 3.12.3
RST.2, RST.4
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
Solve radical equations NCTM1,2,10 2.12.3
Identify extraneous solutions. NCTM1,2,10
2.12.3
Use the multiplication counting principle and find permutations
NCTM1,2,6,8,10 5.12.4
35
Chapter 12 Sections 12.1,
12.2, & 12.7
Solve inverse variations NCTM2,6,8,9 3.12.5
RST.2, RST.4
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
QUADRATICS QUIZ: All Algebra 1 classes
will give the same quiz over material from sections 11.2, 11.3, 11.5, 12.8 & 12.9. The quiz will be free-response.
Compare direct and inverse variations NCTM2,6,8,9
3.12.5
Identify types of functions by their graphs. Focus on shape: linear, quadratic, absolute value, rational, radical, & exponential.
NCTM2,8,9,10 2.12.4
Solve rational equations in application to work rate practical situations
NCTM1,2,8,9 2.12.3
Identify types of functions by their graphs. Focus on slope: linear, quadratic, absolute value, rational, radical, & exponential.
NCTM2,8,9,10 2.12.4
36
Graphing to logic
Identify types of functions by their graphs. Focus on y- intercept: linear, quadratic, absolute value, rational, radical, & exponential.
NCTM2,8,9,10 2.12.4
RST.7
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment
Simplify Rational Expressions NCTM2,8,9,10
Multiply Rational Expressions NCTM2,6,8,10
Read and determine technical information from charts used in real world situations.
NCTM2,3,4,5,6,8 3.12.4
37
Match graphs to equations NCTM2,8,9,10
2.12.4
RST.2, RST.7
Homework
Problems of the Week
Writing Across the Curriculum
Formative Assessment Match solutions to word problems NCTM2,3,4,5,6,8
3.12.4
38
SEMESTER 2 FINAL COMMON ASSESSMENT
Systems of Equations and Inequalities(Ch7)
Exponents and Exponential Functions(Ch8)
Polynomials and Factoring(Ch9)
Quadratic Equations and Functions(Ch10)
Radical Expressions and Equations o Simplifying Radicals o The Pythagorean Theorem o The Distance and Midpoint
Formulas o Operations with Radical
Expressions o Solving Radical Equations
Rational Expressions and Functions o Inverse Variation o Simplifying Rational
Expressions o Multiplying Rational
Expressions o Counting method,
permutations, combinations
SEMESTER 2 FINAL Common Mastery Assessment:
All Algebra 1 classes will give the same Semester 2 FINAL test to measure/compare/cooperate/share results for overall department evaluation and continuity. The test will be free-response and multiple choice over material from the weeks 2 1 -37 of school.
