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Equivalent Fractions
Students need to know that six-eighths is equivalent to three-fourths and that four-twelfths is equivalent to one-third. While they can calculate these, it is very helpful to know the most common equivalent fractions by memory. One of the most common problems students have in fractions is not “reducing their answers to simplest form.”
Here’s a 5 minute Educreations lessons on How the Equivalent Fractions program works.
Part of the Universal subscription package.
Equivalent fractions will help students commit 100 common equivalent fractions to memory. Each set (A through Z) has four fractions which are displayed on a fraction number line. Students frequently learn fractions equivalent to one,such as ten-tenths, as well as fractions that can’t be reduced, for example three-fourths is equivalent to three-fourths. Using the fraction number line will help with student understanding of why those fractions are equivalent.
Click here for the full sequence of 100 Equivalent fractions that students will learn in this program.
Equivalent fractions, Factors, and Integers, are all pre-algebra programs that are appropriate for middle school students who already know the basic facts.
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We include 4 removable, and reusable Goal Arrows with each Wall Chart. These stick to the Wall Chart to set motivating goals for your students. If your school needs Goal Arrows or additional Goal Arrows, here’s how to get them. Order Item 2008 and we will send you 48 additional arrows–enough for 16 teachers.
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Dictating Sentences is spelling with a twist. Instead of spelling one word at a time, in Dictating Sentences (now part of the Universal Level Rocket Math Worksheet Program) students are asked to write an entire sentence from memory. They work in pairs and their tutor has the student repeat the sentence until it is learned. Then the student has to write the whole sentence from memory. It turns out this is considerably harder than writing words on a spelling test, so it is challenging practice, and does a lot to help students develop automaticity with spelling.
If you have to stop and think of the spelling of a word while you are trying to write, it distracts you from thinking about what you are trying to write. Students are more successful and better able to show what they know and better able to focus on learning when their tool skills have developed to the level of automaticity.
Daily practice develops automaticity. Developing automaticity with math facts and with spelling requires a lot of practice. Daily practice is best and a few minutes a day is optimal. That is why Rocket Math is designed the way it is–to provide that daily practice. So Dictating Sentences gives each member of the pair ten minutes a day of practice writing sentences composed of words they know how to spell.
Working in pairs. As you know from Rocket Math practice, students enjoy working in pairs. And when one partner has an answer key the practice can be checked and corrected. Sound research shows that immediate correction and editing of misspelled words is the fastest way to learn the correct spelling, so that’s what we have the student tutor do. After each sentence is written every word is checked and practiced again until it is correct.
Mastery learning. The program is structure so that all the words are learned to the level of automaticy. Students keep working on a sentence until it can be written without any errors. They work on the same lesson for as many days as is needed for them to spelling every word perfectly in all three sentences. Each sentence persists for two or three lessons, so that the student is required to write it from memory and spell every word perfectly for several days in a row.
500 Most common words. Dictating sentences systematically practices the 500 most common words that students need in their writing. It includes all of Rebecca Sitton’s 400 Core Words. It also includes the 340 words that children most need for writing according to writing researchers Harris and Graham. When students know these words to the level of automaticity, they will be able to write fluently and easily.
Earning points by being correct and going fast. Students earn two points for every word that is spelling correctly the first time. Every word on which there is an error is worked on until it too can be spelled correctly, earning one point. The faster students go during their ten minutes, the more points they can earn. Students graph the amount of points earned and try to beat their own score from previous days. Teams can be set up and competition for the glory of being on the winning team can enhance the motivation.
Individual Placement. There is a placement test. Students begin at the level where they first make a mistake. Student partners do not need to be at the same level, so every student can be individually placed at the level of success.
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A number of math programs around the country introduce math facts in families. Now Rocket Math does too!
A fact family includes both addition and subtraction facts. You can see to the left the 25 examples of fact families taught in this program starting with Set A; 3+1, 1+3, 4-1 & 4-3. The sheet shows the sequence of learning facts in the new Rocket Math program Fact Families 1s-10s (+, -). Each set that students learn from A to Y adds just one fact family to be learned, so it isn’t too hard to remember. (That’s the Rocket Math secret ingredient!)
Learning math facts in families, is gaining in popularity these days. Logic suggests that this would be an easier way to learn. However, the research is not definitive that this is easier or a faster way to learn facts than separating the operations and learning all addition facts first and then learning all subtraction facts. But learning in fact families is a viable option, and I wanted to have it available for Rocket Math customers.
Best fit for first grade. I separated out the 1s through 10s facts from the 11s-18s, because these 25 families are just enough for one Rocket Math program. It is a good and sufficient accomplishment for first grade. I have heard that some first grades prefer to keep the numbers small but to learn both addition and subtraction–so this program accomplishes that.
I added Fact Families 1s-10s (+, -) to the Universal subscription in April of 2017 bringing the total number of programs in the Universal subscription to 14 (the basic four operations and ten more!). By the fall of the 2017 school year I should have the rest of the Fact Familes in addition and subtraction available. The rest of the addition and subtraction fact families, which students could learn in 2nd grade, would be the Fact Families 11s-18s (+, -). As always, new programs are added to the Universal subscription without additional cost as soon as they are available.
I most sincerely want students to be successful and to enjoy (as much as possible) the necessary chore of learning math facts to automaticity. Please give me feedback when you use this new program, Fact Families 1s-10s (+, -), as to how it goes for the students.
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Rocket Writing for Numerals prepares students to write numerals efficiently, quickly and legibly. There are 72 pages of practice divided into four chapters which gradually increase in difficulty. (The red “Chapter 1, Chapter 2” etc don’t show in the actual program!)
- Chapter 1 starts with simply having students tracing the numerals and learning to form them in the correct manner. Students work through each of the numerals and practice them in concert with other previously learned numerals.
- Chapter 2 gives more practice tracing but also requires students to learn to copy smaller examples and then write the numerals the appropriate size to fit 20 on a line.
- Chapter 3 gives more practice tracing but also has students do a one-minute timing to see if they can write 20 digits in a minute.
- Chapter 4 gives more practice tracing but also has students aim for writing 40 digits in one minute. Once they achieve this milestone they are fast enough for Rocket Math.
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