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Are you looking for a way to start the new school year off on the right foot? Maintaining the math skills you learned last year will make you most successful in your new math course.
The lists below show important prerequisite skills and concepts needed as you enter a new course. There are links to support your practice in the right hand column. We’ve targeted math skills that will have the greatest impact towards your success in the Fall.
Look for math in everything you do this summer! Do some baking to refresh your fraction skills. Help your parents estimate the tip for your server at a restaurant using percents. Look for Geometry in the home improvement activities that are happening at your house or in your yard.
The Polson Math Teachers
For Students Entering Math 7 and Grade 7 Pre-Algebra
Prerequisite Skill/Concept Needed: Be fluent with multiplication and division facts
Examples: 18 ÷ 3 and 8X2
Links to Resources/Games: Madison Summer Math K-6
Prerequisite Skill/Concept Needed: Be able to (fluently) work with all four operations and decimals
Examples: 4X6.2 and 3.86 + 2.5 and 654 ÷ 0.2
Prerequisite Skill/Concept Needed: Be able to (fluently) work with all four operations and fractions
Examples: ¾ + ⅛ and 6 X ⅔ and 8 ÷ ¾ and ½ ÷ ¾
Prerequisite Skill/Concept Needed: Graph and name points on the coordinate plane
Example: Graph the point (-2,3)
Links to Resources/Games: Play the ‘all four quadrants’ version of this game and Find the point
Prerequisite Skill/Concept Needed: Use the order of operations to simplify expressions
Examples: 4 + 3 X 52 and 8 - (2 + 3) + 3
For Students Entering Grade 8 Pre-Algebra
You should be strong in all the skills and concepts listed above for entering 7th grade math courses
Prerequisite Skill/Concept Needed: All skills listed for 7th grade courses.
Examples: 12x + 4 = 40 and -3y + 2 = 14 and -6 = 7 - a
Link to Resource/Game: Solving Equations: Several Levels
Prerequisite Skill/Concept Needed: Be fluent with all four operations and integers including using the order of operations
Examples: -3 + 32 and (-3)(4) and -24 ¸ (-3)
Links to Resources/Games: Integer Addition Block Game and Integer Subtraction and Order of Operations Game and Create Your Own Expression and Check Your Solution and Greg Tang Minus Mania
Prerequisite Skill/Concept Needed: Evaluate an expression (substitution with positive and negative numbers)
Example: Find 3a + b2 if a = -5 and b = -1
Link to Resource/Game: Substitution: Several Levels of Practice
For Students Entering Algebra
You should be strong in all the skills and concepts listed above for entering Pre-Algebra
Use this link to get the skills list, link to resources, and practice problem for students entering Algebra I. You can also find this information on the Madison School District webpage. Look for the ‘STUDENTS’ tab and then find ‘SUMMER’ and you will find summer math and reading information
Students entering math courses at Daniel Hand High School will use skills and concepts from previous courses that are essential for future success. In order to help students “stay fresh” on these essential skills, the Math Department has compiled skills lists, links to resources, and practice problems with solutions for a variety of courses. The department also offers links to videos that will reinforce the prerequisite skills that are most essential as students enter the course in the fall. These resources are helpful to reference as student progress as Mathematicians. We hope you use these additional resources to refresh and revisit skills this summer and throughout the year as needed. Students may also work with their teacher, outside of class, or visit a Learning Lab for additional support during the school year.
Links to summer work for students entering Pre-calculus
Questions 1 and 2: Writing linear equations and simplifying expressions
Question 3: Factoring
Question 7: Solving a system
Question 10: Graphing a variety of different kinds of equations
Questions 11 and 12: Composition functions and graphing rational functions