**Main Activity**

Exploring Mathematical Concepts

*A variety of short lessons to reinforce standards-based concepts.*
MAC Text

**pp. 341-342** - Estimating Square Roots

**pp. 254-256** - Integers (absolute value)

*Alignment to CA Mathematics Standards:*

**Number Sense**

2.4 use the inverse relationship between raising to a power and root extraction for
perfect square integers; and, for integers which are not square, determine without
a calculator, the two integers between which its square root lies, and explain why

2.5 understand the meaning of the absolute value of a number, interpret it as the
distance of the number from zero on a number line and determine the absolute value
of real numbers

**Mathematical Reasoning**

1.1 analyze problems by identifying relationships, discriminating relevant from irrelevant information, identifying missing information, sequencing and prioritizing information, and observing patterns

1.2 formulate and justify mathematical conjectures based upon a general description of the mathematical question or problem posed

2.4 make and test conjectures using both inductive and deductive reasoning

2.7 indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy

**Problem of the Week** - pp. 228-234 - Unit 12 - measurement and angles

*On the first Wednesday of the month students will have a reading activity in class. They will read the different POWs in their text and select one to work on for that week.*

*Alignment to CA Mathematics Standards:*

**Mathematical Reasoning**

1.1 analyze problems by identifying relationships, discriminating relevant from irrelevant information, identifying missing information, sequencing and prioritizing information and observing patterns.

1.2 formulate and justify mathematical conjectures based upon a general description of the mathematical question or problem posed.

1.3 determine when and how to break a problem into simpler parts.

2.4 make and test conjectures using both inductive and deductive reasoning

2.5 use a variety of methods such as words, numbers, symbols, charts, graphs, tables, diagrams and models to explain mathematical reasoning.

2.6 express the solution clearly and logically using appropriate mathematical notation and terms and clear language, and support solutions with evidence, in both verbal and symbolic work.

3.1 evaluate the reasonableness of the solution in the context of the original situation

3.2 note method of deriving the solution and demonstrate conceptual understanding of the derivation by solving similar problems.

**Resources**

**Assessment**
- Students will demonstrate understanding of the meaning of the absolute value of a number
- Students will find the square root of a number and explain their method.

**Spring Break** - April 3-7

**Main Activity**

Exploring Mathematical Concepts

*A variety of short lessons to reinforce standards-based concepts.*

MAC Text

**pp. 476-478** - Percent of Change

**pp. 479-481** - Discount and Sales Tax

*Alignment to CA Mathematics Standards:*

**Number Sense**

1.6 calculate percent of increases and decreases

1.7 solve problems that involve discounts, markups, commissions, profit and simple
compound interest with decimals and money

**Mathematical Reasoning**

1.1 analyze problems by identifying relationships, discriminating relevant from irrelevant information, identifying missing information, sequencing and prioritizing information, and observing patterns

1.2 formulate and justify mathematical conjectures based upon a general description of the mathematical question or problem posed

2.4 make and test conjectures using both inductive and deductive reasoning

2.7 indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy

**Resources**

**Assessment**
- Students will demonstrate understanding of increases and decreases.
- Students will solve problems that involve discounts, markups, commissions, profit and simple
compound interest with decimals and money.