Lesson 1: Week 1: Diagnostic + Algebra Review
Duration of Days: 5
Lesson Objective
Identify student strengths and gaps.
How can reviewing algebra concepts strengthen readiness for college math courses or military entrance exams?
What mathematical skills are expected for college-level placement exams?
Placement exam
Quantitative reasoning
Algebraic reasoning
Linear equations
Functions
Ratios and proportions
Percent applications
Systems of equations
Problem solving strategies
HSA-REI.B.3
Solve linear equations and inequalities in one variable.
HSA-CED.A.1
Create equations and inequalities in one variable and use them to solve problems.
HSF-IF.B.4
Interpret key features of graphs and functions.
Students will:
Take diagnostic practice tests
Identify areas of strength and weakness
Review core algebra and quantitative reasoning concepts
Practice solving exam-style problems under timed conditions
Students will also learn test-taking strategies such as estimation, checking reasonableness of answers, and managing time.
The purpose of this unit is to prepare students for post-secondary expectations, including:
College math placement exams
Military entrance exams
Workforce aptitude assessments
Placement into credit-bearing college math courses
This unit helps students avoid remedial math in college, which can delay graduation and increase college costs.
DOK 1 – Recall and Basic Skills
Review algebraic procedures
Practice computation
DOK 2 – Skills and Concepts
Apply algebra to multi-step problems
Interpret graphs and functions
DOK 3 – Strategic Thinking
Solve real-world application problems
Analyze problem-solving strategies
Support for Developing Learners
Targeted review of Algebra I concepts
Small group remediation based on diagnostic results
Step-by-step worked examples
Formula and concept review sheets
On-Level Strategies
Timed practice quizzes
Peer problem-solving activities
Mixed review problem sets
Enrichment / Extension
Advanced quantitative reasoning problems
Data interpretation questions
ACT/SAT-style problem solving
Accuplacer practice tests
Khan Academy
College Board
Khan Academy
laptop