## Ellipsis Math 3

Watch your child develop a love for mathematics while building important critical thinking and problem solving skills. We balance our curriculum with rigorous practices, strategy development in multi-step problem solving, and early exposure to logic problems.

In both semesters, students will be exposed to multi-step problem solving strategies (draw a diagram, working backward, making an organized list, etc.). Many problems from various math competitions will be discussed as part of our active learning session. Students receive weekly assignments which may take them 1 hour to 1.5 hours per week.

In both semesters, students will be exposed to multi-step problem solving strategies (draw a diagram, working backward, making an organized list, etc.). Many problems from various math competitions will be discussed as part of our active learning session. Students receive weekly assignments which may take them 1 hour to 1.5 hours per week.

## Topics Covered

**Fall Semester**

Number sense (up to 10,000), number patterns, mental math calculation, sum and difference, product, quotient and remainder, multiplication patterns, division patterns, problem solving involving all four operations, money, calendar and time, algebraic connections, and data analysis.

In addition, materials from Math Kangaroo and Math Challenge may be presented and discussed in class.

Sample problems:

**Fiona spent $4,125 on a vacation package. Tom spent $985 more than Fiona. How much did they spend altogether?**

*(F_EM3_01, Whole Number)***Lisa picked 136 apples and Neeta picked 68 apples. If Lisa gives Neeta 18 apples, how many more apples will Lisa have than Neeta?**

*(F_EM3_07, PS Four Operations)***Tim has twice as many books as Dan. Dan has three times as many books as Jon. If Jon has 15 books, how many books do the three boys have altogether?**

*(F_EM3_08, PS Draw a Model)***The total cost of a backpack and a cap is $70.20. The cap cost $38.00 less than the backpack. What is the cost of the cap?**

*(F_EM3_09, PS Money)*

**Spring Semester**

Number sense (up to 10,000), mental math calculation, measurement conversions, weight conversions, and capacity conversions. problem solving involving all four operations, money (all operations), factors and multiples, fractions (understanding basic concept, equivalent fractions, adding/subtracting fractions), and fraction of a set, patterns, and geometry.

Geometry will cover polygons, and basic concept of area, perimeter, and volume.

Sample problems:

**A tank is filled with 3 gallons 3 quarts of water. After 1 gallon 1 quart is added to it, the tank is half filled. What is the capacity of the tank?**

*(S_EM3_05, Measurement - Capacity)*

*(S_EM3_08, Perimeter and Area)***What is the perimeter of the figure below?**

**(S_EM3_10, Factors and Multiples)****There are about 40 to 60 chairs in the testing room. All chairs maybe arranged in equal rows of 9 or 6, with no chair leftover. How many chairs are there in the testing room?**

**Angie has $35. She wants to spend three-sevenths of her money on a new pair of jeans. How much money will she have left over?**

*(S_EM3_13, Fractions)***The Ross family are working on a fitness program. On the first day, they cycle around the oval three times; on the second day, seven times; and on the third day, eleven times, and so on. How many days must they exercise before they reach their goal of cycling around the oval 31 times?**

*(S_EM3_14, Patterns)*