Math Reflections 3 & Units of Measure

LARGE GROUP
Students took a mini-assessment using the terms factors, divisors, product, multiples, and divisible by.

Then students did a Think-Pair-Share on Math Reflections 3, to consolidate what we know about multiplying and dividing integers.

Finally, students brainstormed all the measurement terms they could think of, and in small groups categorized and labeled them as to what they measure. Students thought of measurements for length, area, volume, mass, time, temperature, brightness, sound, earth movement/vibration, power, data storage, etc.

We discussed the metric system, and students learned how to convert from one unit to the other within the metric system, for example, from kilometers to meters. Class notes may be downloaded here for class 7A or class 7B.

LARGE GROUP HOMEWORK
Finish Math Reflections 3, questions 1-3 on page 59.

Finish Metric Conversions handout, which you can download here.

Due tomorrow, Thursday, April 15.

SMALL GROUPS
Students worked with Cory today to practice word and number problems involving addition, subtraction, multiplication, and division of positive and negative numbers.

SMALL GROUP HOMEWORK
Finish Math Reflections 3, questions 1-3 on page 59.

Due tomorrow, Thursday, April 15.

ACE 3.4 Integer Product Game

LARGE GROUP
Today the large group did a warm-up problem estimating the answers to addition, subtraction, multiplication, and division problem with integers. Then we played the Integer Product Game, a variant of a game we played in sixth grade, but with negative numbers as well as positive numbers. Students were very animated as they determined strategies to get 4 in a row and win the game! You can download class notes here for class 7A or class 7B.

LARGE GROUP HOMEWORK
ACE 3.4 Homework

Please choose one of the options below to complete.

Option 1
Problems 12-17, 18a-i, and 19-21 on pages 52-53

Option 2
Problems 12-17, 18a-i, 19 and 34-35 on pages 52-58

Do not use a calculator!
Due tomorrow, Wednesday, April 14.

SMALL GROUP
Students worked with Cory today to go over the rules for addition, subtraction, multiplication, and division of positive and negative numbers. They practiced all of these on skill sheets including all the operations.

SMALL GROUP HOMEWORK

Please spend 30 minutes with Addition, Subtraction, and Multiplication & Division at the Mathwizz website.

Due tomorrow, Wednesday, April 14.

POW: Area & Volume

LARGE GROUP ONLY
Please choose 2 of the 3 questions on the Problem of the Week, Area and Volume, to complete. You may download the handout here. Class notes discussing the formulas may be downloaded here for class 7A or class 7B.

Due Monday, April 19.

ACE 3.3 Intro to Division of Integers

LARGE GROUP
We worked on Problem 3.3 today, Introduction to Division with Integers, and we used what we know about the relationship between multiplication and division to create fact families and figure out an algorithm for division with negative and positive numbers. Class notes may be downloaded here for class 7A or class 7B.

LARGE GROUP HOMEWORK
ACE 3.3 Homework
Please choose one of the options below to complete.

Option 1
Problems 7-8, 10-11, 22c-i, 33 on pages 51-58

Option 2
Problems 7-8, 22f-m, 27, 33 on pages 51-58

Do not use a calculator!
Due tomorrow, Tuesday, April 13.

SMALL GROUPS
MaryBeth went over the Partner quiz again and addition and subtraction of positive and negative numbers. Then she introduced students to division with integers, and students made a card. They went over part B of Problem 3.3, Introduction to Division, and practiced this operation with the Division Skill Sheet.

SMALL GROUP HOMEWORK:
ACE 3.3 Homework

Problems 8-17 on page 52

Do not use a calculator!
Due tomorrow, Tuesday, April 13

Partner Quiz Corrections

Today both groups met together with Sima. We discussed the Partner Quiz answers. Students practiced standardized test math questions, and some students worked at the Mathwizz web site on addition and multiplication of integers.

Homework: Partner Quiz Corrections

Please look at the problems marked with arrows on the Partner Quiz, and try again. You may use your notes, math book, and help from others. Please make your corrections in colored pencil! I will not accept corrections made in regular pencil, or erasing your work, because it is important to make your thinking before and after visible.

Corrections due Monday, April 12.

ACE 3.1 Intro to Multiplication with Integers

LARGE GROUP
The students considered the following puzzler as a warm up problem. Class 7A should consider this problem further, and both classes should share this with their families!

String Burning Puzzle

You have 2 pieces of string of different, unspecified length, and some matches. Each piece of string takes exactly an hour to burn, but the burn rate is not constant. This means that it could take 59 minutes to burn the first 1⁄4, and 1 minute for the rest. The strings have different burn rates, and of course you don't know the rates anyway. Using only the matches and the strings, measure 45 minutes.

Then we worked on Problem 3.1, Introducing Multiplication of Integers, looking at a number line model to see whether products are positive or negative when we multiply integers together. Some students also worked on Problem 3.2, Multiplication Patterns. We found that like addition, multiplication is commutative. If you switch the position of factors in an equation, the product is still the same.

Algorithms for multiplication students came up with called for multiplying the absolute values of numbers together. When multiplying two positive or two negative numbers, the product will be positive. When multiplying a positive and negative number together, the product will be negative. Class notes may be downloaded here for class 7A or class 7B.

LARGE GROUP ACE 3.1 Homework:
Please choose one of the options below to complete.

Option 1
Problems 1-4 on pages 50-51

Option 2
Problems 2-4, 24, and 30 on pages 51-56

Do not use a calculator!
Due tomorrow, Thursday, April 8.

SMALL GROUPS
Students worked with Cory today on Problem 3.1, Introducing Multiplication, parts A1-5, B1-4, and B6.

SMALL GROUP ACE 3.1 Homework:

Problems 1-4 on pages 50-51

Do not use a calculator!
Due tomorrow, Thursday, April 8.

Measuring Rectangles & Intro to Multiplication of Integers

LARGE GROUP
We discussed the Problem of the Week, the X/O problem, and how experimental probability begins to approach theoretical probability as you do more trials. Then we finished talking about Measuring Rectangles, and how the dimensions are in a constant ratio no matter what they are measured by. Finally, we began thinking about multiplication with negative numbers. Class notes may be downloaded here for class 7A and class 7B.

LARGE GROUP HW
Please finish questions 4-5 on Measuring Rectangles.

Due tomorrow, Wednesday, April 7.

SMALL GROUP
Students worked with Cory on Problem 3.2, Multiplication Patterns, as an introduction to Multiplication with negative numbers. Students made a Multiplication of Integers card.

SMALL GROUP HW:
Problems 4-5, 6a-d on page 51

Do not use a calculator!
Due tomorrow, Wednesday, April 7