

Objectives
of the Unit

Sample Overview
The sample material
for this unit is the "Looking Back" lesson for the unit.
Each unit in CorePlus Mathematics includes a final lesson designed
to help students review and organize their thinking related to the
mathematical concepts learned in the unit.
Instructional
Design
Throughout the curriculum,
interesting problem contexts serve as the foundation for instruction.
As lessons unfold around these problem situations, classroom instruction
tends to follow a fourphase cycle of classroom activities—Launch,
Explore, Share and Summarize, and Apply.
This instructional model is elaborated under Instructional
Design.
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Material
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How the Discrete
Mathematics Strand Continues
In Course 3
Unit 1, Reasoning and Proof, students will consider and
develop proofs from discrete mathematics. In Unit 7, Recursion
and Iteration, students study iteration and recursion as tools
to model and analyze sequential change in realworld contexts, including
compound interest and population growth; arithmetic, geometric, and
other sequences; arithmetic and geometric series; finite differences;
linear and nonlinear recurrence relations; and function iteration,
including graphical iteration and fixed points.
In Course 4: Preparation
for Calculus Unit 8, Counting Methods and Induction, students
study the following topics: systematic listing and counting, counting
trees, the Multiplication Principle of Counting, Addition Principle
of Counting, combinations, permutations, selections with repetition;
the binomial theorem, Pascal's triangle, combinatorial reasoning; the
general multiplication rule for probability; the Principle of Mathematical
Induction; and proof using the Least Number Principle. (See
the CPMP Courses 14
descriptions.)
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