Word Problem Wednesday – Pei Ling, Zandy, and Sulaiman

This month’s problem comes from the website TestPapersFree.com, which provides past copies of continual and semestral assessments from Singapore Primary Schools. This is a great resource if you’re looking to see questions directly from Singapore classrooms. This problem is from Raffles Girls School,  Grade 4, and is a Semester 2 assessment, which is the final term of the year.

Pei Ling had 3 times as many cards Zandy.
Sulaiman had half the number of cards Zandy had.
There were a total of 1278 cards.
How many more cards did Pei Ling have than Zandy?

Submit your solutions by the end of the month!


The prior problem was from the Grade 6 STAAR 2013-2017 Released Test questions from lead4ward aligned to the Texas Essential Knowledge and Skills or TEKS.

There are 176 slices of bread in 8 loaves. If there are the same number of slices in each loaf, how many slices of bread are there in 5 loaves?

 

How did you do?

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Word Problem Wednesday – Rulers and Bread

Word Problem Wednesday was such a hit, we’re going to continue throughout the year with one problem a month.

This problem popped up in my Medium feed last month:

Algebraic expressions — the return! Guess the Misconception author Craig Barton noted that on a quiz website for test prep in the UK,  only 1 in 3 students could answer this problem correctly. At the time, I was also analyzing the value of model drawing by reviewing released problems from the 6th-grade STAAR tests, so my first thought was, hmm, how would this work as a bar model?

Pretty well, actually. If I know that:

I can find:

The AQA is an independent education charity that offers GCSE testing in the UK. DiagnosticQuestions.com provides multiple choice questions so you can build your own assessment, or use one of their collections.

Check out a bar model solution:

 

Finally, this month’s problem comes from the Grade 6 STAAR 2013-2017 Released Test questions from lead4ward aligned to the Texas Essential Knowledge and Skills or TEKS. It aligns to the standard:

6.4(B) (New) Proportional Reasoning: Apply qualitative and quantitative reasoning to solve prediction and comparison of real-world problems involving ratios and rates.

There are 176 slices of bread in 8 loaves. If there are the same number of slices in each loaf, how many slices of bread are there in 5 loaves?

Submit your solutions by the end of the month!


The prior problem was from the Teacher’s Guide for Primary Mathematics US Edition 5A.

We had a couple of submissions.

Here’s Shirley Davis’ model and algebra combo:

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Word Problem Wednesday – Alice, Betty, & Cassie

Word Problem Wednesday was such a hit, we’re going to continue throughout the year with one problem a month.

Our problem this month comes courtesy of a 5th grade teacher who was excited that for the first time, her students understood and easily modeled this problem from the Teacher’s Guide for Primary Mathematics US Edition 5A.

Alice, Betty, and Cassie have $70 altogether. The ratio of Alice’s money to Betty’s money is 1 : 3. Cassie has $10 more than Alice. What is the ratio of Alice’s money to Betty’s money to Cassie’s money?

Submit your solutions by the end of the month!


The last problem was taken from the Dimensions Math 3A Textbook. (Click to learn more about this recently released curriculum):

Shirley Davis shared her algebraic bar model solution:

 

How did you do?

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Word Problem Wednesday – Pinecones

Word Problem Wednesday was such a hit, we’re going to continue throughout the year with one problem a month.

Singapore Math, Inc. will be releasing a new series April 25 at the National Council of Teachers of Mathematics Annual Conference. This problem comes from a chapter on two-step word problems from 3A

Mei and Dion together made 11 turtles. Mei made 3 more turtles than Dion.
How many turtles did Mei make?

Submit your solutions and we’ll post all interesting solutions.


The last problem was taken from Noetic Learning’s problem of the week Sign up to receive their weekly problems.

Robin’s age is 3 times Marcia’s age. Anna is twice as old as Marcia. The sum of their ages is 30. How old is Marcia?

Shirley Davis shared her algebraic bar model solution:

 

How did you do?

 

 

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Come see us at NCEA and NCTM

Spring educators’ conference season is upon us and we are thrilled by several opportunities to speak at upcoming events.  The descriptions below are from conference programs.

NCEA 2018 Convention & Expo (April 3 – 5 at the Duke Energy Convention Center in Cincinnati, OH) is the largest private-education association gathering in the nation!

Strip Models, Tape Diagrams, Bar Models, Oh My!
Presenters: Cassy Turner and Beth Curran
Date: Tuesday, April 3, 2018
Time: 1:30 PM – 2:45 PM
Room: 251

Improving students’ problem-solving abilities is a major focus of mathematics education. Model drawing is a powerful tool that students can use to attack complex problems. In this hands-on, minds ­on session, presenters will investigate methods of teaching and assessing tape diagrams for those persnickety word problems, and explore interactive model drawing technology. Walk away with strategies for guiding student learning that you can use tomorrow!

Using Mental Math Strategies to Deepen Number Sense
Presenters: Beth Curran and Cassy Turner
Date: Thursday, April 5, 2018
Time: 11:15 AM – 12:30 PM
Room: 251

Number sense = mental math. Participants will actively explore mental math strategies used throughout the elementary grades. Engaging in mental math activities allows students to develop a relational understanding of numbers and their magnitude. Students begin to see numbers as being made up of parts and develop an understanding of how numbers can be composed and decomposed for mental calculations. Discourse around mental math allows students to expand their toolbox of strategies for solving problems and to evaluate strategies and answers for efficiency and reasonableness.

NCTM Annual Meeting and Exposition 2018 (April 25 – 28 at the Walter E. Washington Convention Center in Washington, D.C.) is the premier math education event of the year!

Do Not Invert and Multiply! Building the Bridge to Algebra Through Fractions Tasks
Date:  Friday, April 27, 2018
Time:  1:30 PM – 2:30 PM
Room:  159 AB

Join Cassy Turner, Beth Curran, and Allison Coates as they work through hands-on tasks for fractions. We’ll investigate how the progression of fractions problems helps students build mastery of algebraic concepts such as naming unknown quantities, writing expressions, and laying the foundation for solving for x.

Using Anchor Tasks to Engage Learners: Deepening Understanding through Exploration and Discourse
Date:  Saturday, April 28, 2018
Time:  8:00 AM – 9:00 AM
Room:  146 B

Participants will engage in active math lessons and learn how to use learning objectives to create anchor tasks that spark student interest and allow students of all levels to build on prior knowledge, explore concepts with concrete materials and engage in productive discourse to deepen conceptual understanding with a focus on problem-solving. Cassy Turner and Beth Curran will lead this interactive workshop

Beginning Bar Model Boot Camp: Getting Started with Model Drawing
Date:  Saturday, April 28, 2018
Time:  9:45 AM – 11:00 AM
Room: 144 ABC

Improving students’ problem-solving abilities is a major objective of Common Core and state standards, and model drawing is a powerful tool that students can use to attack complex problems. Join Cassy Turner and Beth Curran to investigate methods of teaching and assessing tape diagrams for those persnickety word problems, and explore interactive model drawing technology.

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