Basic Pre-Algebra
Ongoing/All Year / 1st Quarter / 2nd Quarter / 3rd Quarter / 4th Quarter
Assessment Type / Assessment Type / Assessment Type / Assessment Type
Writing Process
Reading Process
Problem Solving / Bundle
#1
#2 / Bundle
#2
#3 / Bundle
#4 / Bundle
#5
#6
Instructional Methods
· Identifying Similarities & Differences
· Summarizing & Note Taking
· Homework & Practice
· Nonlinguistic Representation
· Cooperative Learning Groups
· Setting Objective/Providing Feedback
· Generating & Testing Hypothesis
· Cues, Questioning, & Advance Organizers
· Direct Vocabulary Instruction / Instruction Methods
· Identifying Similarities & Differences
· Summarizing & Note Taking
· Homework & Practice
· Nonlinguistic Representation
· Cooperative Learning Groups
· Setting Objective/Providing Feedback
· Generating & Testing Hypothesis
· Cues, Questioning, & Advance Organizers
· Direct Vocabulary Instruction / Instructional Methods
· Identifying Similarities & Differences
· Summarizing & Note Taking
· Homework & Practice
· Nonlinguistic Representation
· Cooperative Learning Groups
· Setting Objective/Providing Feedback
· Generating & Testing Hypothesis
· Cues, Questioning, & Advance Organizers
· Direct Vocabulary Instruction / Instructional Methods
· Identifying Similarities & Differences
· Summarizing & Note Taking
·
· Homework & Practice
· Nonlinguistic Representation
· Cooperative Learning Groups
· Setting Objective/Providing Feedback
· Generating & Testing Hypothesis
· Cues, Questioning, & Advance Organizers
· Direct Vocabulary Instruction
Basic Pre-Algebra
Essential Outcomes
- The laws of exponents are used to evaluate expressions. (Core Standard 1A)
Learning goals:
1. Students will be able to read and write problems using decimals in scientific
notation. (8.1.1)
2. Students will be able to compare problems using decimals in scientific
notation. (8.1.1)
3. Students will be able to solve problems using decimals in scientific notation.
(8.1.1)
4. Students will be able to use the laws of integer exponents. (8.1.4; 8.1.5)
5. Students will be able to use order of operations. (8.3.4)
- Evaluate square root operations (Core Standard 1B)
Learning goals:
1. Students will be able to identify rational and irrational numbers. (8.1.2)
2. Students will understand the relationship between squares and square roots.
(8.1.6)
3. Students will be able to calculate and find approximations of square roots.
(8.1.7)
- Constructions help to identify geometric relationships. (Core Standard 2A)
Learning goal:
1. Students will be able to identify and describe basic properties of geometric
shapes. (8.4.1)
2. Students will be able to perform simple constructions. (8.4.2)
3. Students will be able to draw geometric shapes. (8.4.4)
- Rates and units are used to solve problems. (Core Standard 2C)
Learning goals:
1. Students will be able to use various tools for common measurements. (8.5.1)
2. Students will be able to solve problems involving rates and proportions.
(8.5.2)
3. Students will be able to solve percent problems. (8.2.2)
- Formulas are used to find surface area and volume of geometric solids.(Core Standard 2D)
Learning goals:
1. Students will be able solve ratio and proportion problems. (8.5.3)
2. Students will be able to use formulas to find perimeter and area. (8.5.4)
3. Students will be able to use surface area and volume. (8.5.4)
- Equations and inequalities are used to solve for the unknown. (Core Standard 3A)
Learning goals:
1. Students will be able to add, subtract, multiply, and divide rational numbers.
(8.2.1)
2. Students will be able to write and solve equations with one variable. (8.3.1)
3. Students will be able to write and solve inequalities with one variable. (8.3.1)
4. Students will be able to justify a solution. (8.3.1)
- Linear equations are used to solve problems. (Core Standard 3B)
Learning goals:
1. Students will be able to identify the slope of a line. (8.3.5)
2. Students will understand and apply the relationship among tables, equations,
word problems, and the graph of a line. (8.3.8)
- Analyze and evaluate data for everyday applications. (Core Standard 4A and 4B)
Learning goals:
1. Students will be able to interpret data. (8.6.1; 8.7.2)
2. Students will represent data in a number line and in tables. (8.6.2)
4 Students will be able to represent data with a scatterplot. (8.6.5)
3. Students will be able to explain which type of display is appropriate for
various data sets. (8.6.4; 8.7.1)
- Experimentation is used to compute probability. (Core Standard 4C)
Learning goals:
1. Students will understand and recognize equally likely events. (8.6.6)
2. Students will understand the difference between probability and odds. (8.6.6)
Basic Pre-Algebra Bundle #1 – Integer Operations
Standard Indicator: Core Standard 3AEssential Outcome: Equations and inequalities are used to solve for the unknown
8.3.1 Write and solve linear inequalities
Declarative / Procedural
Concepts (Essential Outcomes) / Equations and inequalities are used to solve for the unknown. / Process / Reading Process
Organizing Ideas (Learning Goals) / 1. Students will be able to use order of operations.
2. Students will be able to write and solve equations with one variable.
3. Students will be able to write and solve inequalities with one variable.
Details / 1. Variables represent an unknown value.
2. Identify the difference between a linear equation (=) and inequality (<,>).
3. Identify the steps needed to solve an equation or inequality.
4. Identify the steps in the order of operations. / Skills / · Solve linear equations and inequalities.
Vocabulary / Variable
Expression
Linear
inequality
Basic Pre-Algebra Bundle #2- Rational Numbers
Essential Outcome: The laws of exponents are used to evaluate expressions.
Evaluate square root operations and identify rational and irrational numbers.
Equations and inequalities are used to solve for the unknown.
1.1 Identify claims based on statistical data and in simple cases evaluate the reasonableness of the claims.
1.2 Identify different ways of selecting samples
1.4 Analyze, interpret and display data
1.5 Display two variable data
Declarative / Procedural
Concepts (Essential Outcomes) / 1. Analyze and evaluate data for everyday applications. / Process / Reading process
Writing process
Orders of Operation
Organizing Ideas (Learning Goals) / 1. Students will be able to read and write problems using decimals.
2. Students will be able to compare problems using decimals.
3. Students will be able to solve problems using decimals.
4. Students will be able to add, subtract, multiply and divide rational numbers.
Details / · Understand the difference between repeating, non-repeat decimals.
· Understand how to add, subtract, multiply decimals. / Skills / · Solve equations by adding, subtract, multiply and divide rational numbers in multi-step problems.
Vocabulary / Decimal
Rational numbers
equations
Standard Indicator: Core Standards 2C
Essential Outcome: Rates and units are used to solve problems
2.2 Solve percent, ratio and proportion problems
Declarative / Procedural
Concepts (Essential Outcomes) / Rates and units are used to solve problems / Process / Reading process.
Writing process
Oder of Operations
Organizing Ideas (Learning Goals) / 1. Students will be able to use tools for common measurements.
2. Students will be able to solve problems involving rates and proportions.
3. Students will be able to solve percent problems.
Details / 1. Know how to convert between percents, fractions and decimals.
2. Know how to set up proportions. / Skills / · Convert common measurements to equivalent measurements within the same system.
· Solve problems involving scale factors using ratio and proportion.
· Solve proportion problems.
Vocabulary / proportion, scale, percent
Basic Pre-Algebra Bundle # 3: Rates, Proportions and Percent Operations
Basic Pre-Algebra Bundle # 4: Geometry
Essential Outcome: Constructions help to identify geometric relationships
Formulas are used to find surface area and volume of geometric solids
4.1 Perform basic compass and straightedge constructions
4.4 Identify, define and describe properties of three-dimensional geometric objects
5.4 Use scale factors to find the area and volume of similar figures
5.5 Find and use the surface area and volume of cones, spheres, and pyramids
Declarative / Procedural
Concepts (Essential Outcomes) / 1. Constructions help to identify geometric relationships
2. Formulas are used to find surface area and volume of geometric solids / Process / Reading process.
Writing process.
Organizing Ideas (Learning Goals) / 1. Students will be able to identify and describe basic properties of geometric shapes.
2. Students will be able to draw geometric shapes.
3. Students will be able to use formulas to find perimeter and area.
4. Students will be able to use surface area and volume.
Details / · Identify geometric shapes (quadrilaterals, triangles, circles, pentagon, hexagon, and octagon).
· Identify the formulas for perimeter, area, surface area and volume for basic two- and three-dimensional shapes. / Skills / · Describe basic properties of geometric shapes including radius, diameter, height, etc.
· Solve problems using perimeter, area, surface area and volume.
Vocabulary / altitudes (height) diameter volume
diagonals surface
Radius area
Basic Pre-Algebra Bundle #5: Analyze and Evaluate Data
Essential Outcome: Analyze and evaluate data for everyday applications.
Experimentation is used to compute probability.
6.1 Identify claims based on statistical data
6.2 Indentify different methods of selecting samples
6.3 Use mean, median, mode to compare data
6.4 Analyze, interpret and display data
6.5 Display two-variable data
Declarative / Procedural
Concepts / 1. Analyze and evaluate data for everyday applications. / Process / Writing process.
Reading process.
Organizing Ideas (Learning Goals) / 1. Students will be able to interpret data.
2. Students will represent data in a number line and in tables.
3. Students will be able to explain which type of display is appropriate for various data sets.
Details / · Identify claims based on statistical data.
· Identify different methods of selecting samples.
· Identify the characteristics and uses of bar, line and circle graphs. / Skills / · Evaluate the reasonableness of claims based on statistical data.
· Identify or compute median.
· Analyze, interpret and display single- and two-variable data in appropriate bar, line, and circle graphs
· Explain which types of display are appropriate for various data sets.
Vocabulary / Median
Bar Graph
Line Graph
Statistical Data
Data
Circle Graph
Characteristics
Basic Algebra Bundle #6 Real Numbers
Standard Indicator: AlgebraStandard 1: Understand and Use Operations
with Real Numbers.
1.3 Solve equations and formulas for a specified variable
6.1 Use linear functions and linear equations to represent, analyze and solve problems
Declarative Knowledge / Procedural Knowledge
Concepts / There are rules used to simplify expressions and equations / Processes / 1. Order of operations.
2. Reading Process
3. Writing Process
Organizing
Ideas / 1. Students will understand the four operations with real numbers.
2. Students will apply order of operations to simplify and solve equations and inequalities
Details / · Rules:
Associative
(a + b) + c = a + (b+ c)
Commutative
a + b = b + c
· Properties of equality
· Properties of one and zero / Skills / · Apply the rules to simplify expressions
· Use a calculator to add, subtract, multiply, and divide
Vocabulary / Distributive, like/unlike, Associative, commutative, variable, parentheses, grouping symbols, brackets, fraction bar
Assessment Planning Guide Pre-Algebra
Bundle #1- Integer Operations
Essential Outcomes:Equations and inequalities are used to solve for the unknown.
Summative Assessment:
Use order of operations to solve equations –given 10 multiple choice questions students will solve problems
Write and solve equations with one variable
Write and solve inequalities with one variable
Describe Assessment & Timeline / Method / Testing
Knowledge / Testing Reasoning/Analysis / Testing
Performance
Skill / Testing
Product
Formative 1:
Students will be able to use order of operations.
Timeline:2-3 weeks / Given 3-5 multiple choice questions students will solve problems using order of operations. / x / x
Formative 2:
Students will be able to write and solve equations with one variable.
Timeline:2-3 weeks / Given 3-5 multiple choice questions students will solve problems with one variable / x / x
Formative 3:
Students will be able to write and solve inequalities with one variable.
Timeline 2-3 weeks / Given 3-5 multiple choice questions student will solve problems with inequalities with one variable / x / X
Assessment Planning Guide Basic Pre-Algebra
Bundle #2- Exponents, Rational and Irrational Numbers
Essential Outcome:The laws of exponents are used to evaluate expressions.
Evaluate square root operations and identify rational and irrational numbers.
Equations and inequalities are used to solve for the unknown.
Summative Assessment:
Read and write problems using decimals
Compare problems using decimals
Solve problems using decimals given 10 multiple choice problems students will solve
Subtract, multiply, and divide rational numbers
Describe Assessment & Timeline / Method / Testing
Knowledge / Testing Reasoning/Analysis / Testing
Performance
Skill / Testing
Product
Formative 1:
Students will be able to read and write problems using decimals.
Timeline:2-3 weeks / Orally given 3-5 numbers with decimals student will read and write the numbers. / x / x / x
Formative 2:
Students will be able to compare problems using decimals.
Timeline:2-3 weeks / Given 3-5 multiple choice problems with decimals students will use =, <, > / x / x
Formative 3:
Students will be able to solve problems using decimals.
Timeline2-3weeks / Given 3-5 multiple choice problems with decimals students will write and solve problems. / x / x
Formative 4:
Students will be able to add, subtract, multiply and divide rational numbers.
Timeline2-3 weeks / Given 3-5 multiple choice problems students will perform the four basic operations on rational numbers / x / x
Assessment Planning Guide Basic Pre-Algebra
Bundle #3- Rates, Proportions and Percent Operations
Essential Outcome: Rates and units are used to solve problemsSummative Assessment:
Use various tools for common measurements given 10 multiple choice questions student swill solve problems
Solve problems involving rates and proportions
Solve percent problems
Describe Assessment & Timeline / Method / Testing
Knowledge / Testing Reasoning/Analysis / Testing
Performance
Skill / Testing
Product
Formative 1:
Students will be able to use various tools for common measurements.
Timeline:2-3 weeks / Given 3-5 problems, students will use various tools to measure different items. / x / x / x
Formative 2:
Students will be able to solve problems involving rates and proportions.
Timeline: 2-3 weeks / given written directions students will use ratio and proportions to mix two products / x / x / x / x
Formative 3:
Students will be able to solve percent problems.
Timeline2-3 weeks / Given 3-5 multiple choice problems student will solve problems for 6% sales tax. / x / X
Assessment Planning Guide Basic Pre-Algebra