## 5th Grade Math Enrichment Overview

*You’ve got the computation basics — time to move more efficiently, add a clever twist or two — and maybe even a few short cuts. If you’re multiplying two numbers and one has more digits — should you put it on top — or the bottom? How about if one number ends in zeros — top or bottom? Ready for division with three digit numbers?*

*Now that you’ve worked with fractions — can you apply your knowledge to solve some real world problems? If you multiply fractions do they get bigger or smaller? How do you convert a fraction into a decimal — or a decimal into a fraction? What happens if you multiply two negative numbers? If you add them? If you’re 110 centimeters high –are you tall? Can you calculate the number of inches in a mile?*

**Who**: Recommended for incoming 5th grade students who are seeking additional challenge

### The SelectivePrep 5th Grade Math Enrichment Program

- Is offered in a 5 day session (one week long), Monday through Friday and is 3 hours per session or 15 hours in total
- Limits class size to 20 students
- Includes hands-on workshops and exercises where students get additional practice — and have fun.

**Cost:** $350 for a week long session

**Schedule**: Registration for our Summer Math Programs will begin in **April 2017 **and classes will run in** August 2017**. Please *contact us* if you have any questions.

### Program Format

Each session is divided into three parts:

**Concept Review.** Students will interactively work through problems in each topic area to ensure that the concepts are well understood.

**Application**. Students will apply concepts in real life simulations or word problems to gain practical experience.

**Game/Contest**. Students work through challenge questions and compete for prizes, either in teams or individually.

### 5th Grade Math Enrichment Program Syllabus

### Session 1: Multiplication and Division Review

Estimation & Rounding (e.g., 32 × 77, 2,058 ÷ 42)

Rules of Divisibility (e.g., three “easy” rules, three “cool” ones & one “ultra-cool” rule)

Addition & Multiplication Shortcuts (e.g., multiplication & division with 2 and 3 digit numbers)

Remainders (e.g., what is the 437^{th} term in qrstqrstqrst…?)

**Game/Exercise**: Jeopardy game that emphasizes computation speed and accuracy

### Session 2: Decimal Concept Review

Adding, subtracting, multiplying & dividing decimals (e.g., 783 – 17.12321, .008 × .16, 16 ÷ .008)

Place value (e.g., in the number 37.98989, what digit is in the ten thousandths place?)

Multiplying & dividing by powers of 10 (e.g., 941 ÷ 100, .0228 × 1,000)

Scientific notation (e.g., express 9,745,000 or .000345 in scientific notation)

**Application**: Word problems with decimals (e.g., A 240 pound carton of food is made of cans of tuna fish. How many cans of tuna fish are in the carton?)

**Game/Exercise**: Decimal Jeopardy

### Session 3: Fraction Concept Review

Adding, subtracting, multiplying & dividing fractions (e.g., 2⁄3 + 3⁄4 + 5⁄6, 8⁄9 ÷ 5⁄6)

Mixed number skills (e.g., 12 1⁄3 – 3 7⁄8, 6 3⁄5 × 2 8⁄11)

Relationship between fractions & decimals (e.g.,how can .16 be expressed as a fraction?)

**Application:** Word problems with fractions (e.g., A freight elevator can hold a maximum of 600 pounds. there are already two cartons on the elevator. One weighs 153 7⁄8 lb. and the other weights 311 2⁄3 lb. Joe wants to put a carton on the elevator that weighs X lb. What is the maximum value of X?

**Game/Exercise**: Fraction Jeopardy

### Sessoin 4: Units of Measurement Review

Introduction to Metric & American Units (e.g., how many feet are there in a quarter mile? how many inches?)

Length, area & volume (e.g., if an ant walks 15 cm each second, how many meters does the ant walk in a minute?)

Weight, liquid volume & temperature (e.g., if an elephant weighs 2½ tons, how many pounds does the elephant weigh?)

Other number systems (e.g., how is the number 17 written in base 2?, how is the year 2014 written in Roman numerals?)

**Application**: Word problems with units of measurement (e.g., fencing costs $2.70 per yard. Jane wants to fence in her vegetable garden which is 20 ft. long and 8 ft. wide. How much will it cost?)

**Game/Exercise**: Units of measurement Jeopardy game

### Session 5: The Number Line & Coordinate Plane

Positive & negative numbers on the number line (e.g. plot the points (-8) and (-2¼) on the number line. How far apart are these points?)

Properties of negative numbers (e.g., what is the value of (-5) – (-3)?, what is the value of (-5) + (-3), what is the value of (-5) × (-3)?)

Graphing points (e.g., starting from point (8,6), Joe walks 7 units down and 7 units to the left. Where is Joe? Which quadrant is he in?

Working with scale (e.g., if a map has one mile = ½ inch, how many inches is a town that is 8 miles away?)

**Application**: Word problems with coordinate geometry (e.g., if two adjacent vertices of a square are located at (-2, 3) and (3,3), find the coordinates of all possible other vertices of the square)

**Game/Exercise**: Final Jeopardy — a contest that reviews the week’s topics