Word Problem Woes with Estimation
We’ve been so super busy since school started back! I have to say that I am in LOVE with my new group of students! We’ve gotten off to a great start!
Things had been running pretty smoothly in our math block until we came to estimating sums and differences. Sure, they could round numbers. They’re actually really good at rounding numbers. They can also add and subtract multi-digit whole numbers like nobody’s business. But when I asked these sweet students to solve a variety of addition and subtraction word problems, things came to a screeching halt. My little loves were having trouble figuring out if a given problem wanted them to find an estimate or an exact answer.
It was like after we started our lessons and practice of using estimated sums and differences to check the reasonableness of our exact answers, things got all mixed up. Suddenly they just wanted to only estimate sums and differences or either they would only calculate exact sums and difference. No middle ground.
We needed more practice! We had a short-mini lesson on estimating sums and differences and some key words that clue us in to whether a given problem wants an estimate. **I do not generally teach key words for operations. I find that students overly rely on their presence and mindlessly perform calculations without truly analyzing the given word problem’s meaning.** With that being said, there are some pretty obvious key words for estimation!
Estimation vs. Exact Math Journal Entry
This is actually my math journal from last year; My teacher math journal for this year is currently sitting on the corner of my desk in my classroom. :/
We’re going to work in small groups this week to really sharpen our problem solving skills. These sets are differentiated into 5 different levels denoted by shape.
Level 1 – Circle (Low-Average Learner)- Determine if the problem asks for an estimate or exact answer. Numbers included. Do not solve.
Level 2 – Triangle (Average Learner) – Determine if the problem asks for an estimate or exact answer. Write the equation needed to solve. Do not solve.
Level 3 – Square (High Learner) – Determine if the problem asks for an estimate or exact answer. Write the equation and solve.
Levels 4 & 5 – Remediate/Accelerate – Star – Determine if the problem asks for an estimate or exact answer. No numbers included. Two versions included. The directions are different for these sets.
- (Low/Struggling Learner) Use to remediate comprehension without the distraction of numbers.
- (Advanced/Gifted Learner) Use to extend/acceleration problem solving skills by having students to insert their own numbers to solve.
I want to make the most of our small group time, so the directions for the circle, triangle, and low star ask that students do not solve the problem. That’s right, no computation at all. I want us to focus on the meaning of the problem itself. For the square and advanced star, students are asked to go ahead with computation.
The pack is on sale this week only for 50% off! I also have sets for students to determine the operation of a given word problem. The sets are differentiated the exact same way and ask that students determine the operation needed. These sets are also on sale this week only!
I have plans to make more differentiated word problem sets soon. My plans include:
- Mixed Operations (Addition, Subtraction, Multiplication, & Division)
- Addition & Subtraction within 100
- Addition & Subtraction within 1,000
- Basic Multiplication & Division
- Basic Addition & Subtraction
If there’s something else you’d like to see a Resolve to Solve differentiated word problem set for, please comment below or message me through one of my social media channels!